Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:52:51.069180Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 100 of 119 outbound references and 1 inbound Pith citation observation for arXiv:2506.20787.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:52:51.069180Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:52:47.376719Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T22:52:51.643839Z
100 of 119 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 3862de3e-3f80-486c-b42f-40bdd63e7b79 · outbound
Close Hyperbolic Encounters In f(R) Gravity (2.18) The Fourier representation of ˜hµν is given by ˜hµν(x, t) = 1√ 2π Z dk0 ˜hµν(x, k0) e−ik0t, (2.19) where k0 ≡ ω c
Reference 1
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Observation c56e4089-b8aa-4e7e-8898-eca71ac1cf7f · outbound
Close Hyperbolic Encounters In f(R) Gravity (2.23) To solve this wave equation we use the retarded Green’s function, GS, satisfying (□ − m2 S) GS(x) = δ(x)
Reference 2
Source-reported events for the cited work
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Observation 58736296-7374-47e7-8932-a948ed51697a · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 3
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Observation 53b52458-d5ce-4ee3-9c82-6b9ba6445914 · outbound
Close Hyperbolic Encounters In f(R) Gravity This assumption leads to the simplification |∆x| ∼ |x| ≡ R, (2.37) Thus, to leading order, (2.22) can be expressed as ˜hij(x, t) ∼ 4G Rc4 Z T ij(x′, t− R) d3x′
Reference 4
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Observation 5f91906f-6863-42d6-8519-2bc2e56bad79 · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 5
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Observation 4f42e161-0af6-4d62-8fb0-2c5c8bed7e79 · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 6
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Observation 3dc99b00-2891-4198-8e6f-38088efc2579 · outbound
Close Hyperbolic Encounters In f(R) Gravity DePergola and A
Reference 7
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Observation 799675a7-cd68-48ad-ae0b-0fdabaf8f576 · outbound
Close Hyperbolic Encounters In f(R) Gravity Garc ´ ıa-Bellido and S
Reference 8
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Observation 6b9f5104-41e6-43e6-8c16-0dd0cbdc6114 · outbound
Close Hyperbolic Encounters In f(R) Gravity Dandapat, M
Reference 9
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Observation b4b8b90c-4759-47b3-a860-f62454546508 · outbound
Reference 10
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Observation b0e085ff-b53a-465e-b467-53b8fca2d705 · outbound
Reference 11
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Observation 000f1376-3e29-41b1-840e-bfce3beadcae · outbound
Close Hyperbolic Encounters In f(R) Gravity The DAWES review: Gravitational-wave burst astrophysics
Reference 12
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Observation a5bcbba7-034b-4a8e-921d-67e0410e47e2 · outbound
Reference 13
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Observation 21369a0a-8305-43e9-ac72-50274e6f871f · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 14
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Observation bb29a905-d606-42e7-8449-5a1ed7049556 · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 15
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Observation 8a8b848b-6632-424f-8f23-6e377ebf7c77 · outbound
Close Hyperbolic Encounters In f(R) Gravity Garc ´ ıa-Bellido and S
Reference 16
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Observation ff055017-50ac-4902-98e8-6c08541248ca · outbound
Close Hyperbolic Encounters In f(R) Gravity Schmidt, S
Reference 17
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Observation e5944cba-e9c8-4ec2-b168-9132bcbe58de · outbound
Close Hyperbolic Encounters In f(R) Gravity Christensen, Reports on Progress in Physics 82, 016903 (2018)
Reference 18
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Observation 75b3f6c7-924d-4013-83eb-4af1760cb262 · outbound
Close Hyperbolic Encounters In f(R) Gravity Mukherjee, S
Reference 20
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Observation 38025ff2-4cb8-4541-b771-39fcae1fa0de · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 21
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Observation 78729078-67c9-42ba-aaa4-847886de8ff7 · outbound
Close Hyperbolic Encounters In f(R) Gravity Dimmelmeier, C
Reference 22
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Observation 9c4942a3-a4c2-4178-b957-24f738a38dc9 · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 23
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Observation 64660aae-f9d4-4f9c-878b-ec70c7cf0a01 · outbound
Close Hyperbolic Encounters In f(R) Gravity Damour and A
Reference 24
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Observation 2cace877-5ec8-4e4f-99ff-204ad783fba5 · outbound
Close Hyperbolic Encounters In f(R) Gravity Damour and A
Reference 25
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Observation 4185c3c2-d03b-4326-82c9-46e27fd72e55 · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 26
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Observation af6aff11-71ff-45d3-be0a-1b7cb5c579e1 · outbound
Close Hyperbolic Encounters In f(R) Gravity Caldarola, S
Reference 27
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Observation 8e50e88d-23f7-4e6b-9d41-7e5efc4163d1 · outbound
Close Hyperbolic Encounters In f(R) Gravity Method for detecting highly-eccentric binaries with a gravitational wave burst search
Reference 28
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5e7f33db-f037-46d1-8a5e-e58d35ae0c1e · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 29
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Observation 1484b885-9798-4a7f-8184-b55eaca3016c · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 30
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Observation e9ee042d-be9a-4fec-aae2-c647f0ddbba6 · outbound
Close Hyperbolic Encounters In f(R) Gravity Morscher, B
Reference 31
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Observation fa3a8499-d265-4b21-812f-8406d245ecb3 · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 32
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Observation e433c196-982b-4d7d-a3f3-3d0f182c4cf2 · outbound
Close Hyperbolic Encounters In f(R) Gravity Chowdhuri, R
Reference 33
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.
Observation 0808dbc8-4bdb-4b6f-8eb5-38be208f4d9f · outbound
Close Hyperbolic Encounters In f(R) Gravity Capozziello, M
Reference 34
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Observation f7b725dd-8e70-4e2d-a3ac-f499e00df008 · outbound
Close Hyperbolic Encounters In f(R) Gravity Jaraba and J
Reference 35
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Observation 16f07b2f-599c-4c85-8d01-f7360c3bb1f2 · outbound
Close Hyperbolic Encounters In f(R) Gravity Spin induction from scattering of two spinning black holes in dense clusters
Reference 36
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Observation ea91546e-1b24-4330-bed8-aa45d043cd33 · outbound
Close Hyperbolic Encounters In f(R) Gravity Caldarola, S
Reference 37
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.
Observation c64e108e-f2d8-4dc8-8986-1f526fbf209f · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 38
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Observation ef125b2a-b151-46bc-8199-4a9abe60cbfd · outbound
Close Hyperbolic Encounters In f(R) Gravity Turner, The Astrophysical Journal 216, 610–619 (1977), aDS Bibcode: 1977ApJ...216..610T
Reference 39
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Observation 8407bd61-11c2-40c1-8e68-146594daabbf · outbound
Close Hyperbolic Encounters In f(R) Gravity Turner and C
Reference 40
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Observation 0d15789e-80a7-4ca4-a52c-3a99033d70f8 · outbound
Close Hyperbolic Encounters In f(R) Gravity Amaro-Seoane, Living Reviews in Relativity 21, 4 (2018)
Reference 41
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Observation e02e9ff4-c476-458c-9619-3858d387247a · outbound
Close Hyperbolic Encounters In f(R) Gravity Zhang, The European Physical Journal Plus 135, 104 (2020)
Reference 42
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Observation 806569e5-16c1-4936-858d-61b3d46c4fd5 · outbound
Close Hyperbolic Encounters In f(R) Gravity Constraint on reheating after f(R) inflation from gravitational waves
Reference 43
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Observation dc823251-6929-4d12-88ca-bec8529a7d41 · outbound
Reference 44
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Observation c9aaca91-02a7-4880-b165-dcd868b88d14 · outbound
Close Hyperbolic Encounters In f(R) Gravity On neutron stars in f(R) theories: small radii, large masses and large energy emitted in a merger
Reference 45
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Observation 8684a690-affb-4eca-aa4c-07f2fdb5fa62 · outbound
Close Hyperbolic Encounters In f(R) Gravity The evolution of cosmological gravitational waves in f(R) gravity
Reference 46
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.
Observation 6bc93208-688a-4b8b-a188-a929e199b0cb · outbound
Close Hyperbolic Encounters In f(R) Gravity $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
Reference 47
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Observation 59a42052-fb39-4ff0-b741-a89e5839c4b5 · outbound
Close Hyperbolic Encounters In f(R) Gravity On Gravitational Radiation in Quadratic $f(R)$ Gravity
Reference 48
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.
Observation eddb1ae4-9ea0-40e7-94a9-ab143e85375b · outbound
Close Hyperbolic Encounters In f(R) Gravity Smoking guns of a bounce in modified theories of gravity through the spectrum of the gravitational waves
Reference 49
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.
Observation b17b7d32-6b75-4556-b9b2-edc6fb6d4fc5 · outbound
Close Hyperbolic Encounters In f(R) Gravity Lensing by gravitational waves in scalar-tensor gravity: Einstein frame analysis
Reference 50
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.
Observation 6c679611-8ad5-4b8b-a4f4-87d7b01b0c3f · outbound
Close Hyperbolic Encounters In f(R) Gravity Capozziello, C
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c253509f-09e5-41db-9d65-69a877eef24e · outbound
Close Hyperbolic Encounters In f(R) Gravity Close Hyperbolic Encounters In f(R) Gravity
Reference 52
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.
Observation c8af6910-4b81-46cd-bfbb-4196705d1e5d · outbound
Reference 53
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Observation db661e67-6ead-4b7f-b460-751c496908ab · outbound
Close Hyperbolic Encounters In f(R) Gravity Polarization modes of gravitational waves in scalar-tensor-Rastall theory
Reference 54
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.
Observation ee4615db-3390-4cc6-8529-f877ebd57514 · outbound
Close Hyperbolic Encounters In f(R) Gravity Dark Energy after GW170817: dead ends and the road ahead
Reference 55
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Unavailable: canonical work link unavailable.
Observation 940ebacb-e487-4b53-833c-ce8d9378f204 · outbound
Close Hyperbolic Encounters In f(R) Gravity Dark Energy after GW170817 and GRB170817A
Reference 56
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Observation 19e1f2c8-4c25-4255-97ef-f0dbf34852df · outbound
Close Hyperbolic Encounters In f(R) Gravity Clifton and P
Reference 57
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Observation 77bca51e-64eb-4ab1-9dd6-c0a8d5867aea · outbound
Reference 58
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Observation ee6aec8c-4bf1-4e61-8292-d8e72ad37297 · outbound
Close Hyperbolic Encounters In f(R) Gravity f(R) Theories Of Gravity
Reference 59
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Observation 3ea7b97d-1a92-4062-b19a-e6f73fe1423e · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 60
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Observation 08404760-c5ea-4360-a449-d2b5a4d83e92 · outbound
Close Hyperbolic Encounters In f(R) Gravity Nojiri and S
Reference 61
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.
Observation ecb70b1d-f3f3-410f-b409-83912b66585c · outbound
Close Hyperbolic Encounters In f(R) Gravity The dark side of gravity: Modified theories of gravity
Reference 62
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Observation f082dc23-016d-498f-a98b-6b1edcd21a88 · outbound
Close Hyperbolic Encounters In f(R) Gravity Vainio and I
Reference 63
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.
Observation 46cb3f6a-d775-4235-9cce-9a7862849242 · outbound
Close Hyperbolic Encounters In f(R) Gravity Linearized f(R) Gravity: Gravitational Radiation & Solar System Tests
Reference 64
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Observation d998649a-5e08-4c71-b34a-ef4b5d2f3a1d · outbound
Close Hyperbolic Encounters In f(R) Gravity Inagaki and M
Reference 65
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.
Observation c8172958-837d-4fab-a2c3-ea521b39e703 · outbound
Close Hyperbolic Encounters In f(R) Gravity Propagating degrees of freedom on maximally-symmetric backgrounds in $f(R)$ theories of gravity
Reference 66
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Unavailable: canonical work link unavailable.
Observation 8ab65987-72d5-4fc9-8a74-6aa2fa4c71d0 · outbound
Close Hyperbolic Encounters In f(R) Gravity Physical non-viability of a wide class of $f(R)$ models and their constant-curvature solutions
Reference 67
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Observation 42882bd8-78bc-466d-9ba5-c06eec6711e5 · outbound
Close Hyperbolic Encounters In f(R) Gravity Faraoni, Scalar-tensor gravity, in Cosmology in Scalar-Tensor Gravity , edited by V
Reference 68
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.
Observation 4a4f9705-c25f-40e6-9be8-dc387e849381 · outbound
Close Hyperbolic Encounters In f(R) Gravity Maggiore, Gravitational Waves: Volume 1: The- ory and Experiments (OUP Oxford, 2007)
Reference 69
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.
Observation 8a4b6f15-8c87-4599-a6c9-af5caab99bc5 · outbound
Close Hyperbolic Encounters In f(R) Gravity Dark Energy after GW170817 and GRB170817A
Reference 70
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Unavailable: canonical work link unavailable.
Observation 14dbf764-5a7c-4fb3-ad00-d530f911d0e6 · outbound
Close Hyperbolic Encounters In f(R) Gravity Dark Energy after GW170817: dead ends and the road ahead
Reference 71
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Unavailable: canonical work link unavailable.
Observation 663df970-8df6-411c-9b23-6dd19247bc33 · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 72
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.
Observation 6d971529-3405-4cd6-a72e-d4c795d7a0e8 · outbound
Close Hyperbolic Encounters In f(R) Gravity D’Eath, in Sources of Gravitational Radiation (1979) pp
Reference 73
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.
Observation 13d86493-2954-419b-9a66-a1e36786aaf5 · outbound
Close Hyperbolic Encounters In f(R) Gravity Analysis of the Yukawa gravitational potential in $f(R)$ gravity I: semiclassical periastron advance
Reference 74
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.
Observation 9e667111-c433-4182-9e9e-9b0922b9f3a4 · outbound
Close Hyperbolic Encounters In f(R) Gravity Tedesco, A
Reference 75
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.
Observation d08de68d-2b7f-4060-bed2-43807f686c5b · outbound
Close Hyperbolic Encounters In f(R) Gravity De Martino, R
Reference 76
Source-reported events for the cited work
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Observation 2989dfd3-bc30-46e6-bfc3-4eecf54adb8c · outbound
Reference 77
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Unavailable: canonical work link unavailable.
Observation ce7081b7-daa2-4202-97e4-0264ce67f6c5 · outbound
Close Hyperbolic Encounters In f(R) Gravity D’Addio, Physics of the Dark Universe 33, 100871 (2021)
Reference 78
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.
Observation 270214d2-5b65-4c87-b433-9968c387b2e9 · outbound
Reference 79
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.
Observation 36a41bc1-3b74-4366-a649-7b44315c833e · outbound
Close Hyperbolic Encounters In f(R) Gravity Analysis of the Yukawa gravitational potential in $f(R)$ gravity II: relativistic periastron advance
Reference 80
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Unavailable: canonical work link unavailable.
Observation e2aa6bb0-7393-4494-9d04-fe5736d62205 · outbound
Reference 81
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.
Observation adf252a4-b815-4d1a-b4d5-6660611dcbab · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 82
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Unavailable: canonical work link unavailable.
Observation 3622f4ca-7b05-459c-bfaa-2cd3e8c33acf · outbound
Close Hyperbolic Encounters In f(R) Gravity Rettegno, G
Reference 83
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.
Observation 816de1d5-69b1-4701-b96a-8d330b49c77c · outbound
Close Hyperbolic Encounters In f(R) Gravity Numerical solutions for the $f(R)$-Klein-Gordon system
Reference 84
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Observation 953a19f8-5162-41d2-8d1d-53c328f69361 · outbound
Close Hyperbolic Encounters In f(R) Gravity A numerical-relativity surrogate model for hyperbolic encounters of black holes: challenges in parameter estimation
Reference 85
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Observation 60aa838d-499f-4966-876c-9f44b1940a3f · outbound
Close Hyperbolic Encounters In f(R) Gravity Teuscher, A
Reference 86
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4bcdc8f9-fcf1-46f5-9fa0-818501dfd6f1 · outbound
Close Hyperbolic Encounters In f(R) Gravity Eccentric Gravitational Wave Bursts in the Post-Newtonian Formalism
Reference 87
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Unavailable: canonical work link unavailable.
Observation d3ac4545-964b-4936-a3ba-85bd457310ac · outbound
Close Hyperbolic Encounters In f(R) Gravity Search for hyperbolic encounters of compact objects in the third LIGO-Virgo-KAGRA observing run
Reference 88
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Observation a5ff14be-2ba7-4049-abdb-75099289a65a · outbound
Close Hyperbolic Encounters In f(R) Gravity Bini and T
Reference 89
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation db390d90-5b13-470f-b549-00e09a5cc4f7 · outbound
Close Hyperbolic Encounters In f(R) Gravity Roskill, M
Reference 90
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.
Observation 9bed5655-22b7-4b25-9b96-ee19b814cab4 · outbound
Close Hyperbolic Encounters In f(R) Gravity Jain, Physical Review D 108, 104071 (2023)
Reference 91
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.
Observation 8db9180c-f171-40ec-9d42-9197ca05d58d · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 92
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.
Observation 49d93fe7-f472-413f-80d8-e3353c5e22ad · outbound
Reference 93
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.
Observation 76178096-fbad-46a1-80c9-1c81b729eed2 · outbound
Reference 94
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.
Observation ef9f6e65-a775-4ac4-ab6e-a03deb6617fa · outbound
Close Hyperbolic Encounters In f(R) Gravity Vitale, Science 372, eabc7397 (2021)
Reference 95
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 084acd5e-158a-4007-9a0f-9c92dc4a2c7c · outbound
Close Hyperbolic Encounters In f(R) Gravity Scalar modes of polarization and speed of gravitational waves in $f(R)$ gravity
Reference 96
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.
Observation e1c0d61c-83ec-4671-a571-d99b06c40e49 · outbound
Close Hyperbolic Encounters In f(R) Gravity Lambiase, M
Reference 97
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.
Observation 332ca13f-97c5-4aa6-aa67-8e6544adfdf2 · outbound
Close Hyperbolic Encounters In f(R) Gravity Scalarons mimicking Dark Matter in the Hu-Sawicki model of f(R) gravity
Reference 98
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 115713a4-e869-4596-a254-bf9196a34fa8 · outbound
Close Hyperbolic Encounters In f(R) Gravity Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
Reference 99
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a27dba8f-1d2e-4cce-b51a-1180f7f42530 · outbound
Close Hyperbolic Encounters In f(R) Gravity Unresolved cited work
Reference 100
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.
Observation 10d66b72-cb81-4e55-913f-1f1ea35db391 · outbound
Close Hyperbolic Encounters In f(R) Gravity Nojiri and S
Reference 101
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.
Observation c253509f-09e5-41db-9d65-69a877eef24e · inbound
Close Hyperbolic Encounters In f(R) Gravity Close Hyperbolic Encounters In f(R) Gravity
Reference 52
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.