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Paper Citation Record · LEDGER

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling

As of 8 August 2026, this Paper Citation Record lists 93 of 93 outbound references and 2 inbound Pith citation observations for arXiv:2506.03600.

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pith.paper-citation-record.v1
2506.03600 v2

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measured 93 of 93 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T20:04:25.638114Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-05-11T12:06:05.075768Z

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93 of 93 outbound references displayed

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Outbound references

Observation 13602e3d-df93-4e84-87d7-20879ee215c7 · outbound

This paper cites The Regge-Wheeler gauge [38, 42] is a convenient choice for handling perturbations of spheri- cally symmetric backgrounds, and its generalization is adapted here (19).

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling The Regge-Wheeler gauge [38, 42] is a convenient choice for handling perturbations of spheri- cally symmetric backgrounds, and its generalization is adapted here (19)

Reference 1

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Observation ab76df09-b00e-425b-b6cc-c0f3346a8a9e · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 2

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Observation 68cc254e-f214-4e51-b365-07ac4d4209dc · outbound

This paper cites Terms of O(χ3), O(α3), O(χ3α2), O(χ2α3) can be dropped.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Terms of O(χ3), O(α3), O(χ3α2), O(χ2α3) can be dropped

Reference 3

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Observation e68b0b9c-8735-408a-92b9-789404dfa185 · outbound

This paper cites As we show, many of these functions will be related through algebraic constraint equations arising from the gauge choice or certain combinations of the field equations.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling As we show, many of these functions will be related through algebraic constraint equations arising from the gauge choice or certain combinations of the field equations

Reference 4

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Observation f918549d-0553-4d65-bfb3-737adbf424e9 · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 5

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Observation cc90719f-b9df-4b76-bd1c-ee780e5a0dbc · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 6

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Observation 0e0ebdd1-195c-475f-82fe-486c0b0fb590 · outbound

This paper cites Slow rotation introduces terms proportional to χ (and an- gular derivatives like χ sin θ or χ cos θ), which couple an l-mode primarily to its neighbors, l ± 1 [59, 65, 66].

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Slow rotation introduces terms proportional to χ (and an- gular derivatives like χ sin θ or χ cos θ), which couple an l-mode primarily to its neighbors, l ± 1 [59, 65, 66]

Reference 7

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Observation a50a194e-35e2-47d3-aa3d-0075e7d56ed6 · outbound

This paper cites These l ↔ l ± 2 couplings are typically absent at O(χ) [47] but are intrinsic to the second-order rotational effects.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling These l ↔ l ± 2 couplings are typically absent at O(χ) [47] but are intrinsic to the second-order rotational effects

Reference 8

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Observation 0cf96b13-1b28-4496-b232-1d9e23c6bcde · outbound

This paper cites However, for dCS perturbations at O(χ2, α2), we find that no such transformation can simultane- ously eliminate all couplings between l, l ± 1, and l ± 2 modes.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling However, for dCS perturbations at O(χ2, α2), we find that no such transformation can simultane- ously eliminate all couplings between l, l ± 1, and l ± 2 modes

Reference 9

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Observation 8c5a87e0-b355-4ceb-a48f-459a84980990 · outbound

This paper cites In the non-rotating limit ( χ = 0), all polar par- ity perturbations ( Z l′m pol ) are zero, and axial parity perturbations (Z l′m ax ) are zero for l′ ̸= l.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling In the non-rotating limit ( χ = 0), all polar par- ity perturbations ( Z l′m pol ) are zero, and axial parity perturbations (Z l′m ax ) are zero for l′ ̸= l

Reference 10

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Observation 60c1fde7-58ce-422a-b6e9-8857d704f8a9 · outbound

This paper cites Thus, the amplitudes of these modes are Z l±1m pol = O(χ).

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Thus, the amplitudes of these modes are Z l±1m pol = O(χ)

Reference 11

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Observation 37975f86-12e1-4939-94ee-cf05b2edc577 · outbound

This paper cites Consequently, the amplitudes of these modes are Z l±2m ax = O(χ2).

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Consequently, the amplitudes of these modes are Z l±2m ax = O(χ2)

Reference 12

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Observation 494c0c97-21be-4cef-974e-4c7f5c3cce2d · outbound

This paper cites Therefore, for determining the QNM fre- quency of Z lm ax up to O(χ2), the explicit inclusion of Z l±2m ax modes and the axial l ↔ l ± 2 coupling terms is not necessary.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Therefore, for determining the QNM fre- quency of Z lm ax up to O(χ2), the explicit inclusion of Z l±2m ax modes and the axial l ↔ l ± 2 coupling terms is not necessary

Reference 13

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Observation 27976735-584f-4cca-a269-cbac127dfda6 · outbound

This paper cites We numerically integrate the sys- tem of equations using Runge-Kutta-Fehlberg method.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling We numerically integrate the sys- tem of equations using Runge-Kutta-Fehlberg method

Reference 14

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Observation fa1545f9-0e6c-4203-ad68-83dc6024fcf8 · outbound

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Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 15

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Observation decc1e22-d387-43d2-bd40-d2a7e49fb5d0 · outbound

This paper cites These were then compared against highly accurate “exact” QNM frequencies obtained using Leaver’s continued fraction method [68].

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling These were then compared against highly accurate “exact” QNM frequencies obtained using Leaver’s continued fraction method [68]

Reference 16

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Observation 78d3ceee-f250-47b7-aa1e-748ce08b870f · outbound

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Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

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Observation deaa66d8-5dc2-46a4-8e94-a6415e4c72cf · outbound

This paper cites Our numerical code was validated against known results for Schwarzschild BHs and, for the Kerr limit (α = 0) in GR.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Our numerical code was validated against known results for Schwarzschild BHs and, for the Kerr limit (α = 0) in GR

Reference 18

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Observation b663ded3-3102-480a-8ffd-bc04fdec4dca · outbound

This paper cites We observed that both the real and imaginary parts of the QNM frequency increase with spin, similar to GR.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling We observed that both the real and imaginary parts of the QNM frequency increase with spin, similar to GR

Reference 19

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Observation b436b353-f8a7-4feb-be5e-f99513e46e85 · outbound

This paper cites These coefficients quantify the intricate interplay be- tween BH spin and dCS modifications.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling These coefficients quantify the intricate interplay be- tween BH spin and dCS modifications

Reference 20

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Observation fe2bad7c-0007-4206-a1c9-b913513b2e8a · outbound

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Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

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Observation a4c1d4bc-16c3-407a-8759-43e1cd18cd46 · outbound

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Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

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Observation d98f052d-79a3-4b82-8e00-2cefafac063e · outbound

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Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

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Observation 2a37f31b-29e1-4ba4-907e-f18df4ac6413 · outbound

This paper cites GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2

Reference 24

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Observation cc92dfff-a277-440b-8b2b-d7ce0e4a679c · outbound

This paper cites GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs

Reference 25

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Observation 3fefeb22-d3ec-492a-aedd-23344aedaa53 · outbound

This paper cites GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run

Reference 26

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Observation 88de88f2-25d7-4200-9da3-dda2d282a839 · outbound

This paper cites GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run

Reference 27

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Observation 27fcd908-0ff5-4dd9-90d6-c4960f4689d7 · outbound

This paper cites no-scalar-hair.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling no-scalar-hair

Reference 28

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Observation 198f2c5c-34db-4bf3-819f-89b49738662a · outbound

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Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 29

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Observation 419b1a3a-7382-4ff8-82a1-ebb3fffdea7c · outbound

This paper cites Heusler, Black Hole Uniqueness Theorems , Cam- bridge Lecture Notes in Physics (Cambridge University Press, 1996).

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Heusler, Black Hole Uniqueness Theorems , Cam- bridge Lecture Notes in Physics (Cambridge University Press, 1996)

Reference 30

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Observation 09777edd-2232-4856-8b5f-9bd3e2dd2021 · outbound

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Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

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Observation c2a31274-eba8-41b4-b113-c275481281fe · outbound

This paper cites Stationary Black Holes: Uniqueness and Beyond.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Stationary Black Holes: Uniqueness and Beyond

Reference 32

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source=pdf_text observed=2026-08-07T11:08:20.950127Z digest=sha256:c67d3d165dc520cbf73eb78ffb206e9f10c9db9520833115bd74dcc4866f6033

Observation 8ed8196c-8876-42a7-be6b-c2f1eea266a3 · outbound

This paper cites Tests of general relativity with GW150914.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Tests of general relativity with GW150914

Reference 33

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source=pdf_text observed=2026-08-07T11:08:20.968463Z digest=sha256:ba5a0795a09e7db5568e85b8f61e49cb5adfd55c8ae2e08f9b8884396d690ec2

Observation 67e009be-7d90-4973-824c-69bec3469cb8 · outbound

This paper cites Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog

Reference 34

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source=pdf_text observed=2026-08-07T11:08:20.986236Z digest=sha256:23415a75225237ec5443c060400d4a403963752aeec55d73af4dc929fb21493a

Observation 258a0d05-9c24-40ec-88fa-772814f34199 · outbound

This paper cites Tests of General Relativity with GWTC-3.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Tests of General Relativity with GWTC-3

Reference 35

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no resolver link, observed 2026-08-07T11:08:20.999231Z

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source=pdf_text observed=2026-08-07T11:08:20.999231Z digest=sha256:6dfd025f7b8fb08403e2e5cf704ae6f23e45d08063f9045525f11319707637b4

Observation 53946f1e-376f-42c4-af76-f09559984648 · outbound

This paper cites Testing General Relativity with Present and Future Astrophysical Observations.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Testing General Relativity with Present and Future Astrophysical Observations

Reference 36

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no resolver link, observed 2026-08-07T11:08:21.024672Z

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source=pdf_text observed=2026-08-07T11:08:21.024672Z digest=sha256:53a74aa33d9fe521b9d8503cad2d7c6af9b1d6156d45f2326b0a45ba7d7ded15

Observation ed2d61b0-b34a-47ce-a9b5-7d114dcbdd61 · outbound

This paper cites Testing the black hole "no-hair" hypothesis.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Testing the black hole "no-hair" hypothesis

Reference 37

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no resolver link, observed 2026-08-07T11:08:21.041767Z

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source=pdf_text observed=2026-08-07T11:08:21.041767Z digest=sha256:fdbc6f810de488dbc8f355e5bd79e8beaace6648ca51bd43e4bffc0bf137f870

Observation bba9cd54-eb4a-4c7f-86cd-0bc7e594b65e · outbound

This paper cites Cosmic Explorer: A Submission to the NSF MPSAC ngGW Subcommittee.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Cosmic Explorer: A Submission to the NSF MPSAC ngGW Subcommittee

Reference 38

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no resolver link, observed 2026-08-07T11:08:21.061216Z

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source=pdf_text observed=2026-08-07T11:08:21.061216Z digest=sha256:8ac07e6a8ab2cb4e3ba5013a7c0a6a6164fe3764d0ce123b3147790b8219cfea

Observation 696f47e8-03a3-43f0-ad82-9e0ae9e1b89f · outbound

This paper cites Science with the Einstein Telescope: a comparison of different designs.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Science with the Einstein Telescope: a comparison of different designs

Reference 39

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no resolver link, observed 2026-08-07T11:08:21.086300Z

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source=pdf_text observed=2026-08-07T11:08:21.086300Z digest=sha256:85016f5e4b7783c309bd8d7e067194e61f02d2145c53ddb46324508e7a62df4b

Observation 81d07f78-d46b-4295-bd6e-acc18b6bfba5 · outbound

This paper cites Black holes, gravitational waves and fundamental physics: a roadmap.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Black holes, gravitational waves and fundamental physics: a roadmap

Reference 40

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no resolver link, observed 2026-08-07T11:08:21.231692Z

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source=pdf_text observed=2026-08-07T11:08:21.231692Z digest=sha256:2bc3c46ea49e929dcecbc04453fbc457987894bc1d05125a653c411677db3a82

Observation 61f258e0-40f7-4e9b-ba74-1efbe29cb968 · outbound

This paper cites Strong gravity signatures in the polarization of gravitational waves.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Strong gravity signatures in the polarization of gravitational waves

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:08:28.476915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:08:21.282052Z digest=sha256:001bced4e882d94b1b3d586d814188d3f7b758ab19205de96a282ec437cf1d83

Observation 91b43026-619f-4f2c-b59f-fb7ce0c53c04 · outbound

This paper cites Chern-Simons Modification of General Relativity.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Chern-Simons Modification of General Relativity

Reference 42

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no resolver link, observed 2026-08-07T11:08:21.334454Z

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source=pdf_text observed=2026-08-07T11:08:21.334454Z digest=sha256:f1140e85418fd8af15b08c27831c451da62036266af819fd19458cb52e4d50f5

Observation a4c57a56-b4f6-402b-9add-53fa4d03880d · outbound

This paper cites Chern-Simons Modified General Relativity.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Chern-Simons Modified General Relativity

Reference 43

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unresolved
no resolver link, observed 2026-08-07T11:08:21.441705Z

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source=pdf_text observed=2026-08-07T11:08:21.441705Z digest=sha256:d95ebfe2d9cad37a7a3892f71a4f12aef0b0f405fa7936fb7e31c344fb106c52

Observation 4fac430a-4e61-4e48-aea1-cfca41902e47 · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:21.608167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:21.608167Z digest=sha256:c713b1d3f617c4a45b46276b24a5d29f1f1f8a37d3727cc761122f8b7be6692c

Observation e75c2dff-fde0-42f2-b935-f8c850581a0d · outbound

This paper cites Birefringent Gravitational Waves and the Consistency Check of Inflation.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Birefringent Gravitational Waves and the Consistency Check of Inflation

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:21.704272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:21.704272Z digest=sha256:df5872bad8ee399832aa06c4743d8a7f20ba59a2b24400e2bad715dc5f2d28a0

Observation fbb473ec-8ce9-4f7c-bccb-36a394bf8405 · outbound

This paper cites Vacuum Amplification of Chiral Gravitational Waves and the Stochastic Gravitational Wave Background.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Vacuum Amplification of Chiral Gravitational Waves and the Stochastic Gravitational Wave Background

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:21.763428Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T11:08:21.763428Z digest=sha256:0d386e79d0ba9eebefd93998bf69153320f100f69882d448464e128d8fd43a11

Observation 5abcc7d3-5445-438a-9360-f342ce2cc80a · outbound

This paper cites Signatures of asymmetry: Gravitational wave memory and the parity violation.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Signatures of asymmetry: Gravitational wave memory and the parity violation

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:08:28.035872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:08:21.882640Z digest=sha256:9439c750d0ccb61ed1705d3191e4d151c37cf79c254400ad34fdb572e886f313

Observation ce2e1ae7-09ea-4821-be37-e2cb32dd8ba1 · outbound

This paper cites How do Black Holes Spin in Chern-Simons Modified Gravity?.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling How do Black Holes Spin in Chern-Simons Modified Gravity?

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:22.004844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:22.004844Z digest=sha256:547a038f57f2e3f33f87b4a576a44e66cf4f1480100231ddccaf67eb3cc3fac1

Observation 2fa3df67-d975-48a4-a353-a9ea4aa9e416 · outbound

This paper cites Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:22.144756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:22.144756Z digest=sha256:b8b982a9fc7372a0d2e44e71893c7e21510073db191e09dc0f003bbaaa8b78eb

Observation f5903f0d-30d9-451d-a89a-b2454cd41b0d · outbound

This paper cites The Chern-Simons Caps for Rotating Black Holes.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling The Chern-Simons Caps for Rotating Black Holes

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:22.317486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:22.317486Z digest=sha256:0e4e22a52dca7c7bdab5b3ac759530575769e182a5d9bf640e3c0b71245533be

Observation 57f957d3-ec50-4ae8-86c0-dae7f23c4677 · outbound

This paper cites Numerical binary black hole collisions in dynamical Chern-Simons gravity.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Numerical binary black hole collisions in dynamical Chern-Simons gravity

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:22.442479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:22.442479Z digest=sha256:48c64a0afe487f90423acaf402d736da8325e867e6656e93c557aa6f2ef86c5c

Observation 44c590a5-03af-4e8f-8774-f6a8d347131a · outbound

This paper cites Constraining gravitational wave amplitude birefringence and Chern-Simons gravity with GWTC-2.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Constraining gravitational wave amplitude birefringence and Chern-Simons gravity with GWTC-2

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:22.539792Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T11:08:22.539792Z digest=sha256:e5ff41ec76ac3d38909a3d9fe4a9bf2270f8af0a532d9d58f8998df73f7cf44e

Observation fd730688-7b72-4143-9178-11ba56c3d8ef · outbound

This paper cites Yunes and F.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Yunes and F

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:32.426413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:08:22.613802Z digest=sha256:64416275b9173d7c6a3d5baf99d32886adb06fa0b8d5f183c079e395748e2943

Observation ef1a1baa-b323-49ca-a49f-51de1e6ee38f · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:08:32.148299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:08:22.683865Z digest=sha256:0257c0241297d352a81f210e2537cff408f8e43afb8727c5e5a04998929d8fb2

Observation 68144112-9b50-4346-a863-bbdfb3233bbb · outbound

This paper cites Rapidly rotating black holes in dynamical Chern-Simons gravity: Decoupling limit solutions and breakdown.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Rapidly rotating black holes in dynamical Chern-Simons gravity: Decoupling limit solutions and breakdown

Reference 55

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unresolved
no resolver link, observed 2026-08-07T11:08:22.764155Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T11:08:22.764155Z digest=sha256:a66089c1275ffd3bc3f7550f5fd0697b5dad639741e26f5324b4a653fe3f02aa

Observation a005bbd6-1bae-44b0-b748-acd684a44930 · outbound

This paper cites Non-perturbative spinning black holes in dynamical Chern-Simons gravity.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Non-perturbative spinning black holes in dynamical Chern-Simons gravity

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:22.839710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:22.839710Z digest=sha256:3f20b9c1410d5315331fe4c5195b6b5565586536358e934c6d35c1470d693faf

Observation 29765d9b-3993-41eb-a3c1-3a1483c9d7a8 · outbound

This paper cites Physics, Astrophysics and Cosmology with Gravitational Waves.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Physics, Astrophysics and Cosmology with Gravitational Waves

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:22.908045Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:22.908045Z digest=sha256:50c2ceddc8314b495682b228ba04ff3fb49c7c945f6ff4d08e8883f61763f8a8

Observation e17224c9-a705-47eb-bb2f-31cd77044cf0 · outbound

This paper cites Maggiore, Gravitational Waves.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Maggiore, Gravitational Waves

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:22.981110Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:22.981110Z digest=sha256:4f5d4b40578f6e2166eff076281b3282916b24e5e86cc0ae27b1c2dfb74baac2

Observation c0b35bba-3535-4caa-bb99-521b5cfd8151 · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:08:31.833143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:08:23.184740Z digest=sha256:22552026f8d7283d4adbf293c18a61a8051187d2d9bc9caf6b553095d390340e

Observation aae30b4c-e372-4ce0-b965-6823de0ecb14 · outbound

This paper cites Blanchet, Post-newtonian theory for gravitational waves, Living Rev.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Blanchet, Post-newtonian theory for gravitational waves, Living Rev

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:31.578175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:08:23.274205Z digest=sha256:187d59803507a170d8fb9031a8e95ccae03d340cc195fa3c99cfb3d1fb30287e

Observation d0e01cf3-a36d-4b74-8fd8-3ddf3dfb8a1b · outbound

This paper cites Regge and J.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Regge and J

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:31.284499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:08:23.337625Z digest=sha256:d5067593ff045ee84f5535b69e5401452d26f7ff9f291b9a9ec432691d064266

Observation 1fad2d83-e7c0-45d3-b0af-967c095786b4 · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:08:31.158216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:08:23.475857Z digest=sha256:b17c45e5ba7738b44a583fb74854320b6a48f7758135372c2cf6d0f713e6a5c8

Observation 68a80026-a0fa-4107-add8-3aa17443eb2b · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:08:30.918312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:08:23.639590Z digest=sha256:95a10e25b2db1aeb9029b1c91b3345d816568b395c746a7b9b717fca24fb1d8f

Observation 2cbbc8a0-99b9-45ea-9f53-3bf8f4b4b207 · outbound

This paper cites Chandrasekhar, The mathematical theory of black holes (Oxford University Press, 1985).

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Chandrasekhar, The mathematical theory of black holes (Oxford University Press, 1985)

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:30.783913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:08:23.734751Z digest=sha256:c890da275a45a500afbbd7b2bb9b664c812a18d21c98a59f52031cd883325ccc

Observation bb6d1b27-8e10-492d-83aa-94ce35be9ad4 · outbound

This paper cites Nollert, Quasinormal modes: the characteristic ‘sound’ of black holes and neutron stars, Classical and Quantum Gravity 16, R159 (1999).

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Nollert, Quasinormal modes: the characteristic ‘sound’ of black holes and neutron stars, Classical and Quantum Gravity 16, R159 (1999)

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:08:30.521274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:08:23.833276Z digest=sha256:6de1c768a051d6e7e420ced5d8eb733ea421b2a67dfb4ee85c94519df61e11d5

Observation e939346f-8ea0-40f8-89f9-470df2a85b90 · outbound

This paper cites Quasinormal modes of black holes and black branes.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Quasinormal modes of black holes and black branes

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:23.928411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:23.928411Z digest=sha256:858d8c9be7290b0ff679988995c9a5ad699500f215d514d37bef1cd459d3533d

Observation 4c0e3f8f-ab2c-420a-b194-71cbaf0a0cdc · outbound

This paper cites Quasi-Normal Modes of Stars and Black Holes.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Quasi-Normal Modes of Stars and Black Holes

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:23.975914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:23.975914Z digest=sha256:312c639c641d141156aa3f501495e336f631f28d920790017ab76bd8040faa28

Observation e27dfb6d-cc68-4459-8261-39effb5625e0 · outbound

This paper cites Quasinormal modes of black holes: from astrophysics to string theory.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Quasinormal modes of black holes: from astrophysics to string theory

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-07T11:08:24.099126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:08:24.099126Z digest=sha256:b54af08d885866c148047003019f77ba44fa3153911f2d0403030866f66cdc86

Observation 0e69ee6a-4f9f-4833-9df1-0fd580fcff6a · outbound

This paper cites Distinguishing general relativity from Chern-Simons gravity using gravitational wave polarizations.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Distinguishing general relativity from Chern-Simons gravity using gravitational wave polarizations

Reference 69

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Observation d456fdc6-74f1-4e6f-bf44-edc206410a9c · outbound

This paper cites Analytical computation of quasi-normal modes of slowly-rotating black-holes in dCS gravity.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Analytical computation of quasi-normal modes of slowly-rotating black-holes in dCS gravity

Reference 70

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Observation fd406826-70b7-4a61-8951-ff7852adef06 · outbound

This paper cites Wagle, N.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Wagle, N

Reference 71

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Observation ed893ae5-024b-4d9a-bbfb-8daa207aa810 · outbound

This paper cites Perturbations of spinning black holes in dynamical Chern-Simons gravity: Slow rotation quasinormal modes.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Perturbations of spinning black holes in dynamical Chern-Simons gravity: Slow rotation quasinormal modes

Reference 72

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Observation 6dc5d99f-5708-41d0-82bf-2fa1bc356b05 · outbound

This paper cites Quasinormal mode frequencies and gravitational perturbations of spinning black holes in modified gravity through METRICS: The dynamical Chern-Simons gravity case.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Quasinormal mode frequencies and gravitational perturbations of spinning black holes in modified gravity through METRICS: The dynamical Chern-Simons gravity case

Reference 73

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Observation a8f68f6f-c4f8-457e-b2bc-e460b929478f · outbound

This paper cites Slow rotation black hole perturbation theory.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Slow rotation black hole perturbation theory

Reference 74

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Observation e55ea8cc-311c-4930-a175-2bd914b5b6d8 · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 75

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Observation 91c28803-a0b9-44e3-b837-dd8cea50bf15 · outbound

This paper cites Konno, T.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Konno, T

Reference 76

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Observation 4c67c6a7-b0a5-4264-967f-aa1aac7ac4e9 · outbound

This paper cites Gravitational waves from extreme mass-ratio inspirals in Dynamical Chern-Simons gravity.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Gravitational waves from extreme mass-ratio inspirals in Dynamical Chern-Simons gravity

Reference 77

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source=pdf_text observed=2026-08-07T11:08:25.140018Z digest=sha256:0babb750bcf00889c421bc225345dd47cf964d39b1cc9c26b5acbdedd0fcf8fe

Observation 8787a202-8932-4a87-bcad-2a9099cd91dc · outbound

This paper cites Poisson, A Relativist’s Toolkit: The Mathematics of Black-Hole Mechanics (Cambridge University Press, 2009).

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Poisson, A Relativist’s Toolkit: The Mathematics of Black-Hole Mechanics (Cambridge University Press, 2009)

Reference 78

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Observation c626a8c8-6936-4fb7-a30d-c52d6a7a8d09 · outbound

This paper cites Astrophysical and theoretical physics implications from multimessenger neutron star observations.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Astrophysical and theoretical physics implications from multimessenger neutron star observations

Reference 79

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source=pdf_text observed=2026-08-07T11:08:25.348399Z digest=sha256:1cd6300be1f2cf93ec40ea8ba6a13d3b9e7151147599f078bc36982bbaf96f14

Observation c19942d6-6861-4dd9-824a-aa59d6001e9f · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 80

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 619230ad-f8b8-4167-8a5b-159539e872fb · outbound

This paper cites Quasinormal modes of Kerr-Newman black holes: coupling of electromagnetic and gravitational perturbations.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Quasinormal modes of Kerr-Newman black holes: coupling of electromagnetic and gravitational perturbations

Reference 81

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source=pdf_text observed=2026-08-07T11:08:25.547193Z digest=sha256:6640deb4b32e50bb8531b7f9805500636b569de0a7174c21e2bb971c284a79cd

Observation d26e4a31-e31e-4799-aad8-4137c34491fa · outbound

This paper cites Advanced Methods in Black-Hole Perturbation Theory.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Advanced Methods in Black-Hole Perturbation Theory

Reference 82

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Observation f5bc3477-67bc-4449-afc8-595e2af76fbd · outbound

This paper cites Quasi-normal modes of rotating black holes in Einstein-dilaton Gauss-Bonnet gravity: the first order in rotation.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Quasi-normal modes of rotating black holes in Einstein-dilaton Gauss-Bonnet gravity: the first order in rotation

Reference 83

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Observation 547f42fd-9ec1-4e33-96a3-f7a09f41d3b6 · outbound

This paper cites Pierini and L.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Pierini and L

Reference 84

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Observation d8a1b0db-6838-4656-a488-bcf2b40f8cd0 · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 85

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation bc6eda7a-1db7-4598-aedf-f8f734b3f042 · outbound

This paper cites Gravitational perturbations of the Schwarzschild spacetime: A practical covariant and gauge-invariant formalism.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Gravitational perturbations of the Schwarzschild spacetime: A practical covariant and gauge-invariant formalism

Reference 86

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Observation 1955ea79-d082-473e-a611-5a867fd9d6c5 · outbound

This paper cites Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger

Reference 87

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Observation c0b33c06-417f-40fe-824f-0ee783240a9a · outbound

This paper cites Kojima, Equations governing the nonradial oscilla- tions of a slowly rotating relativistic star, Phys.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Kojima, Equations governing the nonradial oscilla- tions of a slowly rotating relativistic star, Phys

Reference 88

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source=pdf_text observed=2026-08-07T11:08:26.463009Z digest=sha256:5b165b36a1746beab3fc0f9d48b599a8ff27b55f3f931112932246057f76083f

Observation 5d959503-298e-4f95-a48c-d5913c01e318 · outbound

This paper cites Cutler, Post-Newtonian Effects on the Modes of Ro- tating Stars, Astrophy.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Cutler, Post-Newtonian Effects on the Modes of Ro- tating Stars, Astrophy

Reference 89

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation ba9c9c43-3d05-44de-b00b-dabae672c430 · outbound

This paper cites Gravitational signature of Schwarzschild black holes in dynamical Chern-Simons gravity.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Gravitational signature of Schwarzschild black holes in dynamical Chern-Simons gravity

Reference 90

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Observation f9d3a8e7-df87-4593-a4df-05629f44210c · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 91

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Observation b6c805e1-f0f2-4927-a945-db11265fda21 · outbound

This paper cites an unresolved cited work.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Unresolved cited work

Reference 92

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:08:27.017038Z digest=sha256:b1660c89c0d8637b70f0f1c06b67b1953c1f786a0da83820cb5f84de12b837f4

Observation 7133c0d0-c3fe-451c-bae1-71d3a08ed09e · outbound

This paper cites Tests of General Relativity with GW230529: a neutron star merging with a lower mass-gap compact object.

Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling Tests of General Relativity with GW230529: a neutron star merging with a lower mass-gap compact object

Reference 93

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source=pdf_text observed=2026-08-07T11:08:27.125289Z digest=sha256:9e697e5e862eb76b85bf18f8ad5f5ceec44201f4d42b42d1a4a56e13de950060

Pith citing papers

Observation 699316a4-7fac-419f-a2d7-e8e983749fb2 · inbound

Parity violating spectral dynamics of black holes in dynamical Chern-Simons gravity cites this paper.

Parity violating spectral dynamics of black holes in dynamical Chern-Simons gravity Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling

Reference 30

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source=pdf_text observed=2026-08-03T20:04:25.638114Z digest=sha256:7d6608647ce2521327e5077c2e81b42a87cb9a1e32bf7ef93d0b38e533e13daa

Observation c2817818-71c3-4db1-b8c7-b7fa44750a5c · inbound

Beyond Three Terms: Continued Fractions for Rotating Black Holes in Modified Gravity cites this paper.

Beyond Three Terms: Continued Fractions for Rotating Black Holes in Modified Gravity Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling

Reference 49

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