Schwarzschild perturbations in Lorenz gauge via elliptic differential equations | Paper Citation Record

Observation a334fe50-83dc-421d-b6c8-0133518fe190 · outbound

This paper cites The Laser Interferometer Space Antenna: Unveiling the Millihertz Gravitational Wave Sky.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations The Laser Interferometer Space Antenna: Unveiling the Millihertz Gravitational Wave Sky

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Observation c7376a16-1015-4c4b-a79e-42e3c2029032 · outbound

This paper cites LISA Definition Study Report.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations LISA Definition Study Report

Reference 2

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Observation 37c5b2ac-021a-4d50-9f1e-cd6f4cf07e6b · outbound

This paper cites Waveform Modelling for the Laser Interferometer Space Antenna.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Waveform Modelling for the Laser Interferometer Space Antenna

Reference 3

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Observation 42b9818c-67ca-4c41-ad32-86f8a39ba3f5 · 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.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs

Reference 4

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Observation f34cde69-1f67-4524-8473-9cceab72e0c7 · outbound

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

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run

Reference 5

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Observation 05c4d537-408b-4c9d-af2c-b0d3d6491691 · outbound

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

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run

Reference 6

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Observation 48ff4f28-b66f-4425-b3f7-b93794382161 · outbound

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Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Unresolved cited work

Reference 7

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Observation 6c3acb73-8789-45af-9a74-e71c0be8beef · outbound

This paper cites GWTC-5.0: Observations from the Second Part of the Fourth LIGO-Virgo-KAGRA Observing Run and Updates to the Gravitational-Wave Transient Catalog.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations GWTC-5.0: Observations from the Second Part of the Fourth LIGO-Virgo-KAGRA Observing Run and Updates to the Gravitational-Wave Transient Catalog

Reference 8

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Observation 6eb74fde-20fa-410b-a3ba-9b7d8001118f · outbound

This paper cites Agazie, A.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Agazie, A

Reference 9

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Observation 248b29ef-4d20-459e-88b1-58c1fedd8074 · outbound

This paper cites and Antoniadis, P.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations and Antoniadis, P

Reference 10

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Observation edcf0160-90c7-49ea-b850-9b08a1f753fe · outbound

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Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:46:04.119434Z

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Observation 62731552-adb7-4ed0-b7ed-cc88318a7704 · outbound

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Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Unresolved cited work

Reference 12

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Observation 3de99496-4797-4cbb-b29d-327141e14b3a · outbound

This paper cites The Science of the Einstein Telescope.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations The Science of the Einstein Telescope

Reference 13

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Observation 4934f154-ed60-4ddd-8e2f-9c45f27d70b5 · outbound

This paper cites A Horizon Study for Cosmic Explorer: Science, Observatories, and Community.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations A Horizon Study for Cosmic Explorer: Science, Observatories, and Community

Reference 14

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Observation af4d1cc7-28df-4d67-b706-5dfddcbe3151 · outbound

This paper cites Hu and Y.-L.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Hu and Y.-L

Reference 15

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Observation db6ff184-321b-410e-8996-e4eb94d83663 · outbound

This paper cites Luo, L.-S.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Luo, L.-S

Reference 16

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Observation 3a8bc58a-f076-43b7-8fbf-8ef08d2f5ec2 · outbound

This paper cites The unique potential of extreme mass-ratio inspirals for gravitational-wave astronomy.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations The unique potential of extreme mass-ratio inspirals for gravitational-wave astronomy

Reference 17

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Observation 5dc863c0-252f-4e65-9357-4644c9ab352f · outbound

This paper cites Fernando, D.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Fernando, D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:46:04.086551Z

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Observation 90f7c427-a259-4933-b96a-85780b8f65c3 · outbound

This paper cites an unresolved cited work.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:46:04.077811Z

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Observation ee791e93-e010-4c66-a3a8-b87e701cc29e · outbound

This paper cites an unresolved cited work.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-08-12T00:46:03.636731Z

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Observation 2e169d74-1150-4b75-ba8d-ca60b881bb6f · outbound

This paper cites Mahapatra, J.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Mahapatra, J

Reference 21

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Observation ece76199-4c7c-45e6-a009-2c5e35506c3b · outbound

This paper cites Gravitational Radiation Reaction to a Particle Motion.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Gravitational Radiation Reaction to a Particle Motion

Reference 22

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Observation 6cf555da-4c26-4f70-9531-b0c6d08b2ff6 · outbound

This paper cites An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime

Reference 23

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Observation 2f11e7d7-2508-4d0d-ac82-358d72ed181e · outbound

This paper cites The motion of point particles in curved spacetime.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations The motion of point particles in curved spacetime

Reference 24

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Observation 04ba8c91-ca60-42ed-a347-fa616bcdae1d · outbound

This paper cites Self-force and radiation reaction in general relativity.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Self-force and radiation reaction in general relativity

Reference 25

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Observation a3fcf872-2a44-4dcb-bc37-c6c19c6d6493 · outbound

This paper cites Black hole perturbation theory and gravitational self-force.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Black hole perturbation theory and gravitational self-force

Reference 26

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Observation 6f68d52d-7ff5-4319-b702-76f725a4b04b · outbound

This paper cites Limitations of the adiabatic approximation to the gravitational self-force.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Limitations of the adiabatic approximation to the gravitational self-force

Reference 27

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Observation 0404dfc9-807f-4920-924e-e4c3f49e6826 · outbound

This paper cites Accuracy Requirements: Assessing the Importance of First Post-Adiabatic Terms for Small-Mass-Ratio Binaries.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Accuracy Requirements: Assessing the Importance of First Post-Adiabatic Terms for Small-Mass-Ratio Binaries

Reference 28

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Observation 5855040b-8c02-4868-8e58-e5defa1dd106 · outbound

This paper cites Barack and C.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Barack and C

Reference 29

Resolution: verified exact; doi, observed 2026-08-12T00:46:03.627477Z

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Observation 43e2afd4-6ad7-4968-9748-a7dd00c6ab12 · outbound

This paper cites Barack and N.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Barack and N

Reference 30

Resolution: verified exact; doi, observed 2026-08-12T00:46:03.617809Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9f531be4-8ed9-456a-bd1d-303bec17f29f · outbound

This paper cites Barack and N.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Barack and N

Reference 31

Resolution: verified exact; doi, observed 2026-08-12T00:46:03.607278Z

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Observation cab59ebf-7948-48d9-95df-520190e7b8b5 · outbound

This paper cites Akcay, Fast frequency-domain algorithm for gravitational self-force: Circular orbits in schwarzschild spacetime, Physical Review D83, 10.1103/physrevd.83.124026 (2011).

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Akcay, Fast frequency-domain algorithm for gravitational self-force: Circular orbits in schwarzschild spacetime, Physical Review D83, 10.1103/physrevd.83.124026 (2011)

Reference 32

Resolution: verified exact; doi, observed 2026-08-12T00:46:03.598364Z

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Observation f2969123-c680-4b33-a695-599847d29bbf · outbound

This paper cites Akcay, N.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Akcay, N

Reference 33

Resolution: verified exact; doi, observed 2026-08-12T00:46:03.589243Z

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Observation ab31663f-992b-4d1e-8c6c-c533524f1a1b · outbound

This paper cites Osburn, E.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Osburn, E

Reference 34

Resolution: verified exact; doi, observed 2026-08-12T00:46:03.579981Z

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Observation 40c03ebe-f3f9-44c1-b156-b576bb0f7787 · outbound

This paper cites Hopper, E.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Hopper, E

Reference 35

Resolution: verified exact; doi, observed 2026-08-12T00:46:03.569687Z

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Observation bbdffcb8-5f68-4098-a8b6-8b9f479f3894 · outbound

This paper cites Wardell and N.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Wardell and N

Reference 36

Resolution: verified exact; doi, observed 2026-08-12T00:46:03.559018Z

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Observation 26174f0f-f8bb-4a8c-b921-8f4c69f764a6 · outbound

This paper cites Gravitational perturbations of rotating black holes in Lorenz gauge.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Gravitational perturbations of rotating black holes in Lorenz gauge

Reference 37

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Observation ffcace76-fe4c-4139-bc22-f59b16dce8d9 · outbound

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Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-12T00:46:04.068944Z

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Observation 371f628c-0387-4157-9d34-ac413e1d665f · outbound

This paper cites Wardell, C.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Wardell, C

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:46:04.059789Z

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Observation 5062e763-1e7b-4bd4-b86d-d7abbc10d2ee · outbound

This paper cites Time-domain evolution of Lorenz-gauge metric perturbations: taming the $\ell=m=1$ gauge instability.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Time-domain evolution of Lorenz-gauge metric perturbations: taming the $\ell=m=1$ gauge instability

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:46:03.812196Z

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Observation 0e117ca1-ca5f-4b2f-85ae-cf89f85306d7 · outbound

This paper cites Second-order self-force calculation of the gravitational binding energy in compact binaries.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Second-order self-force calculation of the gravitational binding energy in compact binaries

Reference 41

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Observation 78f948c6-629b-44a1-b926-625c428e9d56 · outbound

This paper cites Gravitational waveforms for compact binaries from second-order self-force theory.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Gravitational waveforms for compact binaries from second-order self-force theory

Reference 42

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Observation fac51515-7f5a-46c5-9f0a-1f01fe35d384 · outbound

This paper cites Comparing second-order gravitational self-force, numerical relativity and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Comparing second-order gravitational self-force, numerical relativity and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries

Reference 43

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Observation aab7ded6-7358-4a87-96c9-148aa3061ca4 · outbound

This paper cites Enhancing the SEOBNRv5 effective-one-body waveform model with second-order gravitational self-force fluxes.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Enhancing the SEOBNRv5 effective-one-body waveform model with second-order gravitational self-force fluxes

Reference 44

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Observation 56b0e172-18ec-4b61-abea-96ba50691f84 · outbound

This paper cites Self-force calculations with numerical relativity methods.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Self-force calculations with numerical relativity methods

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.418439Z

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Observation f3cdf722-7358-478d-91df-532d55b8337d · outbound

This paper cites Teukolsky formalism for nonlinear Kerr perturbations.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Teukolsky formalism for nonlinear Kerr perturbations

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.421589Z

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Observation bc9411dd-9ec9-4285-a054-c6263a8a5824 · outbound

This paper cites New metric reconstruction scheme for gravitational self-force calculations.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations New metric reconstruction scheme for gravitational self-force calculations

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.424826Z

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Observation f2c73cf7-b1a1-472c-8e7c-79493207c8ba · outbound

This paper cites Mei, Separating the linearized einstein equations in the background of a kerr black hole, Science China Physics, Mechanics and Astronomy69, 10.1007/s11433-026-2975-2 (2026).

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Mei, Separating the linearized einstein equations in the background of a kerr black hole, Science China Physics, Mechanics and Astronomy69, 10.1007/s11433-026-2975-2 (2026)

Reference 48

Resolution: verified exact; doi, observed 2026-08-12T00:46:03.548598Z

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Observation 1612439d-3e0e-420d-a980-aa4c7e2e60a6 · outbound

This paper cites Separating the linearized Einstein equations in Kerr.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Separating the linearized Einstein equations in Kerr

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-12T00:46:03.745295Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5ddfe1af-358b-4625-9266-0de828b6c2bd · outbound

This paper cites Analytically Separating the Source of the Teukolsky Equation.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Analytically Separating the Source of the Teukolsky Equation

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.434564Z

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Observation 28926afc-8b37-4417-80eb-c7711714afa4 · outbound

This paper cites Scalar-field perturbations from a particle orbiting a black hole using numerical evolution in 2+1 dimensions.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Scalar-field perturbations from a particle orbiting a black hole using numerical evolution in 2+1 dimensions

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.437835Z

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Observation f859b80d-d72d-4687-ad3f-290a15b4a707 · outbound

This paper cites m-Mode Regularization Scheme for the Self Force in Kerr Spacetime.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations m-Mode Regularization Scheme for the Self Force in Kerr Spacetime

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.440897Z

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Observation 6d8431b0-d378-41e3-b42f-3e719974a2b1 · outbound

This paper cites Self force via m-mode regularization and 2+1D evolution: Foundations and a scalar-field implementation on Schwarzschild.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Self force via m-mode regularization and 2+1D evolution: Foundations and a scalar-field implementation on Schwarzschild

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.444212Z

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Observation 4a033cf6-a473-4ada-9610-dc543fd4805f · outbound

This paper cites Self force via $m$-mode regularization and 2+1D evolution: II. Scalar-field implementation on Kerr spacetime.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Self force via $m$-mode regularization and 2+1D evolution: II. Scalar-field implementation on Kerr spacetime

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.447553Z

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Observation 36be12e8-0425-45dc-a500-92b69f1570ed · outbound

This paper cites Self-force via $m$-mode regularization and 2+1D evolution: III. Gravitational field on Schwarzschild spacetime.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Self-force via $m$-mode regularization and 2+1D evolution: III. Gravitational field on Schwarzschild spacetime

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.450701Z

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Observation ce5abb85-1ce7-4193-adcb-32169ded75f1 · outbound

This paper cites Scalar self-force for highly eccentric equatorial orbits in Kerr spacetime.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Scalar self-force for highly eccentric equatorial orbits in Kerr spacetime

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.453970Z

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Observation 0746ca60-4ae5-48ba-b57e-7dadb81c4246 · outbound

This paper cites Thornburg, B.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Thornburg, B

Reference 57

Resolution: verified exact; doi, observed 2026-08-12T00:46:03.537117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7e72d8e2-190e-4094-b398-c3566841a953 · outbound

This paper cites New self-force method via elliptic partial differential equations for Kerr inspiral models.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations New self-force method via elliptic partial differential equations for Kerr inspiral models

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.460281Z

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Observation 986c78e8-efa9-42b3-97f0-b07668dbba68 · outbound

This paper cites Multi-domain spectral method for self-force calculations.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Multi-domain spectral method for self-force calculations

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.463898Z

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Observation 652d01e9-92f3-4f39-ac39-74f8ef822493 · outbound

This paper cites Isoyama, L.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Isoyama, L

Reference 60

Resolution: verified exact; doi, observed 2026-08-12T00:46:03.526349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cbdfa2e6-0892-45f1-a416-2f998ab8fc84 · outbound

This paper cites Generic effective source for scalar self-force calculations.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Generic effective source for scalar self-force calculations

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.470669Z

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Observation 7fcb5b9f-e8b4-4b7b-8cd5-8f465d30f012 · outbound

This paper cites High-order expansions of the Detweiler-Whiting singular field in Schwarzschild spacetime.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations High-order expansions of the Detweiler-Whiting singular field in Schwarzschild spacetime

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.473930Z

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Unavailable: canonical work link unavailable.

Observation 938228ae-22dc-4ea3-932d-be5cb5aa5207 · outbound

This paper cites High-order expansions of the Detweiler-Whiting singular field in Kerr spacetime.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations High-order expansions of the Detweiler-Whiting singular field in Kerr spacetime

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.477329Z

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Observation 6d413e02-b4ae-409a-ba8a-776045466435 · outbound

This paper cites Wardell, github.com/barrywardell/effectivesource (2012).

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Wardell, github.com/barrywardell/effectivesource (2012)

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:46:04.050764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 203761f4-db52-4fac-98e1-33afc4c79a7e · outbound

This paper cites Bayliss and E.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Bayliss and E

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.483494Z

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Observation e23a2bb5-cbe5-44b4-800b-a6a8c74cea1c · outbound

This paper cites an unresolved cited work.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Unresolved cited work

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.486732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f39b8d50-d2a9-44ea-b212-3220c546e1f6 · outbound

This paper cites an unresolved cited work.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Unresolved cited work

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-12T00:46:03.489682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 619cb565-685b-4f42-a7bf-e906361b6299 · outbound

This paper cites Wardell, N.

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Wardell, N

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:46:04.031662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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