Foundations of Direct Waves in Schwarzschild Ringdown | Paper Citation Record

Observation d3f9393f-3eae-462b-bee4-69988375a63f · outbound

This paper cites Tests of general relativity with GW150914.

Foundations of Direct Waves in Schwarzschild Ringdown Tests of general relativity with GW150914

Reference 1

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This paper cites Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1.

Foundations of Direct Waves in Schwarzschild Ringdown Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1

Reference 2

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

Foundations of Direct Waves in Schwarzschild Ringdown Tests of General Relativity with GWTC-3

Reference 3

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Observation 7e71fba5-6539-41be-aabb-4a71600b5210 · outbound

This paper cites GWTC-4.0: Tests of General Relativity. I. Overview and General Tests.

Foundations of Direct Waves in Schwarzschild Ringdown GWTC-4.0: Tests of General Relativity. I. Overview and General Tests

Reference 4

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Observation 3ca569e6-47f4-4fc8-af31-a9275e56b5f3 · outbound

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

Foundations of Direct Waves in Schwarzschild Ringdown Quasinormal modes of black holes and black branes

Reference 5

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Observation f73fc6cb-a8c1-4126-957b-76811a4cc7f6 · outbound

This paper cites Black hole spectroscopy: from theory to experiment.

Foundations of Direct Waves in Schwarzschild Ringdown Black hole spectroscopy: from theory to experiment

Reference 6

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This paper cites Black Hole Spectroscopy: Testing General Relativity through Gravitational Wave Observations.

Foundations of Direct Waves in Schwarzschild Ringdown Black Hole Spectroscopy: Testing General Relativity through Gravitational Wave Observations

Reference 7

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Observation d8d1cb0f-8c88-4288-9e5e-bf6df1304ecf · outbound

This paper cites Inspiral, merger and ring-down of equal-mass black-hole binaries.

Foundations of Direct Waves in Schwarzschild Ringdown Inspiral, merger and ring-down of equal-mass black-hole binaries

Reference 8

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Observation 4b5d650f-5215-4242-a65d-e1a11a397014 · outbound

This paper cites On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA.

Foundations of Direct Waves in Schwarzschild Ringdown On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA

Reference 9

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Observation d8031081-51b6-4831-a09c-daeb249e3592 · outbound

This paper cites Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown.

Foundations of Direct Waves in Schwarzschild Ringdown Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown

Reference 10

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Observation 7ca261fe-8c5f-4aac-8aae-f106271aa35d · outbound

This paper cites Black hole ringdown: the importance of overtones.

Foundations of Direct Waves in Schwarzschild Ringdown Black hole ringdown: the importance of overtones

Reference 11

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Observation d326e927-dc9d-46d6-9c6c-7817cd771ec3 · outbound

This paper cites Overtones and Nonlinearities in Binary Black Hole Ringdowns.

Foundations of Direct Waves in Schwarzschild Ringdown Overtones and Nonlinearities in Binary Black Hole Ringdowns

Reference 12

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Observation f2e2e554-d65f-4ed7-a24d-3cd59bf2ebea · outbound

This paper cites Testing the no-hair theorem with GW150914.

Foundations of Direct Waves in Schwarzschild Ringdown Testing the no-hair theorem with GW150914

Reference 13

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Observation f2fb68b9-c76f-4156-8d1c-f88d8a7658bf · outbound

This paper cites Observational Black Hole Spectroscopy: A time-domain multimode analysis of GW150914.

Foundations of Direct Waves in Schwarzschild Ringdown Observational Black Hole Spectroscopy: A time-domain multimode analysis of GW150914

Reference 14

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Observation 6c1d6d81-734f-481d-b54a-ed70d071e9cf · outbound

This paper cites Analysis of Ringdown Overtones in GW150914.

Foundations of Direct Waves in Schwarzschild Ringdown Analysis of Ringdown Overtones in GW150914

Reference 15

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Observation f0c3e7cf-5100-46f7-8d61-d85ac2dec5b1 · outbound

This paper cites Revisiting the ringdown of GW150914.

Foundations of Direct Waves in Schwarzschild Ringdown Revisiting the ringdown of GW150914

Reference 16

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Observation 1fba6d18-9579-458f-b3be-4794cd313b05 · outbound

This paper cites Searching for a Ringdown Overtone in GW150914.

Foundations of Direct Waves in Schwarzschild Ringdown Searching for a Ringdown Overtone in GW150914

Reference 17

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Observation 5454aa26-ecf5-4682-97d9-83bc7a65e4f4 · outbound

This paper cites Using rational filters to uncover the first ringdown overtone in GW150914.

Foundations of Direct Waves in Schwarzschild Ringdown Using rational filters to uncover the first ringdown overtone in GW150914

Reference 18

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Observation a8c4b2c6-dd54-4c28-bed3-84b0a902e074 · outbound

This paper cites A multimode quasi-normal spectrum from a perturbed black hole.

Foundations of Direct Waves in Schwarzschild Ringdown A multimode quasi-normal spectrum from a perturbed black hole

Reference 19

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Observation b395dc8c-b587-4090-a182-43d37a466498 · outbound

This paper cites The Ringdown of GW190521: Hints of Multiple Quasinormal Modes with a Precessional Interpretation.

Foundations of Direct Waves in Schwarzschild Ringdown The Ringdown of GW190521: Hints of Multiple Quasinormal Modes with a Precessional Interpretation

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.391842Z

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Observation ab040177-d2ad-451b-90c7-0081ce26af31 · outbound

This paper cites GW231123: a Binary Black Hole Merger with Total Mass 190-265 $M_{\odot}$.

Foundations of Direct Waves in Schwarzschild Ringdown GW231123: a Binary Black Hole Merger with Total Mass 190-265 $M_{\odot}$

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.485946Z

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Observation 16015897-bd7b-4a5b-bfe4-eaa3c035369a · outbound

This paper cites Detection of a Higher Harmonic Quasi-normal Mode in the Ringdown Signal of GW231123.

Foundations of Direct Waves in Schwarzschild Ringdown Detection of a Higher Harmonic Quasi-normal Mode in the Ringdown Signal of GW231123

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.325286Z

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Observation ba5124e6-5fd9-492a-aab9-c494ca5a0d52 · outbound

This paper cites GW250114: testing Hawking's area law and the Kerr nature of black holes.

Foundations of Direct Waves in Schwarzschild Ringdown GW250114: testing Hawking's area law and the Kerr nature of black holes

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.317244Z

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Observation e6fbb8c3-b798-474c-9031-b214139fb89e · outbound

This paper cites Black Hole Spectroscopy and Tests of General Relativity with GW250114.

Foundations of Direct Waves in Schwarzschild Ringdown Black Hole Spectroscopy and Tests of General Relativity with GW250114

Reference 24

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Observation e4ce6fca-ceb8-4eac-84ce-ac09d8bc5852 · outbound

This paper cites GWTC-4.0: Tests of General Relativity. III. Tests of the Remnants.

Foundations of Direct Waves in Schwarzschild Ringdown GWTC-4.0: Tests of General Relativity. III. Tests of the Remnants

Reference 25

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Observation 3d908ef9-d282-4eb0-93ab-655f1a235bd1 · outbound

This paper cites Quasinormal mode content of binary black hole ringdowns.

Foundations of Direct Waves in Schwarzschild Ringdown Quasinormal mode content of binary black hole ringdowns

Reference 26

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Observation 994f2466-4a18-439b-936a-2c077d9bbed4 · outbound

This paper cites Quasinormal modes from numerical relativity with Bayesian inference.

Foundations of Direct Waves in Schwarzschild Ringdown Quasinormal modes from numerical relativity with Bayesian inference

Reference 27

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Observation 4fb5f6dd-9ec4-48fd-bc2c-cb4b8524154e · outbound

This paper cites Nonlinearities in Black Hole Ringdowns.

Foundations of Direct Waves in Schwarzschild Ringdown Nonlinearities in Black Hole Ringdowns

Reference 28

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Observation 1335963a-49a2-4eb1-9ee4-8ef036d16d0d · outbound

This paper cites Nonlinear effects in black hole ringdown.

Foundations of Direct Waves in Schwarzschild Ringdown Nonlinear effects in black hole ringdown

Reference 29

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Observation a1b3b5af-ff9a-4646-86d2-e34b39fe31c8 · outbound

This paper cites Quasinormal-mode filters: a new approach to analyze the gravitational-wave ringdown of binary black-hole mergers.

Foundations of Direct Waves in Schwarzschild Ringdown Quasinormal-mode filters: a new approach to analyze the gravitational-wave ringdown of binary black-hole mergers

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.258026Z

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Observation d08b8a4a-a9ee-4bbc-907e-77b3f81b79dc · outbound

This paper cites Quadratic Mode Couplings in Rotating Black Holes and Their Detectability.

Foundations of Direct Waves in Schwarzschild Ringdown Quadratic Mode Couplings in Rotating Black Holes and Their Detectability

Reference 31

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Observation be3d783b-5ffa-4dff-8df4-b0ae706e9fff · outbound

This paper cites The excitation of quadratic quasinormal modes for Kerr black holes.

Foundations of Direct Waves in Schwarzschild Ringdown The excitation of quadratic quasinormal modes for Kerr black holes

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.307208Z

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Observation 9dfad483-4a41-47a6-92d2-f86e67ea2f98 · outbound

This paper cites Nonlinear Effects In Black Hole Ringdown From Scattering Experiments I: spin and initial data dependence of quadratic mode coupling.

Foundations of Direct Waves in Schwarzschild Ringdown Nonlinear Effects In Black Hole Ringdown From Scattering Experiments I: spin and initial data dependence of quadratic mode coupling

Reference 33

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Observation ec386bcc-8d36-4869-8ad8-272ae25ca77f · outbound

This paper cites Spin dependence of black hole ringdown nonlinearities.

Foundations of Direct Waves in Schwarzschild Ringdown Spin dependence of black hole ringdown nonlinearities

Reference 34

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Observation 198915c0-ed5e-4317-bda5-e8b6a07f3ab9 · outbound

This paper cites Quadratic Quasi-Normal Modes of a Schwarzschild Black Hole.

Foundations of Direct Waves in Schwarzschild Ringdown Quadratic Quasi-Normal Modes of a Schwarzschild Black Hole

Reference 35

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Observation 09c7589b-0603-4008-957e-637892fcc546 · outbound

This paper cites Quadratic quasi-normal mode dependence on linear mode parity.

Foundations of Direct Waves in Schwarzschild Ringdown Quadratic quasi-normal mode dependence on linear mode parity

Reference 36

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Observation 2986dd0f-2a86-46fb-95d6-39a10e100a33 · outbound

This paper cites Andersson, Phys.

Foundations of Direct Waves in Schwarzschild Ringdown Andersson, Phys

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-07-10T23:37:42.080041Z

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Observation 7931210b-6a15-48e7-af13-a67c478a8db1 · outbound

This paper cites The impact of initial conditions on quasi-normal modes.

Foundations of Direct Waves in Schwarzschild Ringdown The impact of initial conditions on quasi-normal modes

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:41.916658Z

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Observation 195b62ff-9a06-4d6a-bacd-4701b769da02 · outbound

This paper cites De Amicis, E.

Foundations of Direct Waves in Schwarzschild Ringdown De Amicis, E

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-07-10T23:37:41.939013Z

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Observation 95104a68-9606-455a-97cc-8f014017fbb6 · outbound

This paper cites De Amicis et al., (2024), arXiv:2412.06887 [gr-qc].

Foundations of Direct Waves in Schwarzschild Ringdown De Amicis et al., (2024), arXiv:2412.06887 [gr-qc]

Reference 41

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Observation f9ec994c-11fe-43e0-8e4c-cba2eaad0b59 · outbound

This paper cites Islam, G.

Foundations of Direct Waves in Schwarzschild Ringdown Islam, G

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-07-10T23:37:41.873896Z

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Observation 6588e3c5-0472-4ee3-8ddf-5f7b5a9316af · outbound

This paper cites Inspiral-inherited ringdown tails.

Foundations of Direct Waves in Schwarzschild Ringdown Inspiral-inherited ringdown tails

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.059688Z

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Observation 94ba6283-a8b7-4864-b6e6-81c99dcdd01b · outbound

This paper cites Merging black holes with Cauchy-characteristic matching: Computation of late-time tails.

Foundations of Direct Waves in Schwarzschild Ringdown Merging black holes with Cauchy-characteristic matching: Computation of late-time tails

Reference 44

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Observation f3aee04c-b6c7-4702-9fcf-3460309d53ff · outbound

This paper cites Hushing black holes: tails in dynamical spacetimes.

Foundations of Direct Waves in Schwarzschild Ringdown Hushing black holes: tails in dynamical spacetimes

Reference 45

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Observation e815bd22-1ff9-4966-b5c0-9b0f3775cd5b · outbound

This paper cites Analysis of late-time tails in spin-aligned eccentric binary black hole mergers.

Foundations of Direct Waves in Schwarzschild Ringdown Analysis of late-time tails in spin-aligned eccentric binary black hole mergers

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:41.784843Z

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Observation 35ec4aca-6d30-4504-bf3c-b03274a4aa2b · outbound

This paper cites Probing Direct Waves in Black Hole Ringdowns.

Foundations of Direct Waves in Schwarzschild Ringdown Probing Direct Waves in Black Hole Ringdowns

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.360693Z

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Observation 65b5cdee-f8b9-40e1-b3d4-f3c836e52360 · outbound

This paper cites GW250114 reveals black hole horizon signatures.

Foundations of Direct Waves in Schwarzschild Ringdown GW250114 reveals black hole horizon signatures

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:41.807018Z

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Observation 13659a68-845f-491c-8549-a041d2ca7ef1 · outbound

This paper cites Black hole spectroscopy by mode cleaning.

Foundations of Direct Waves in Schwarzschild Ringdown Black hole spectroscopy by mode cleaning

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:41.832146Z

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Observation 408eadb8-bdc5-43da-8c4f-9049be9c1960 · outbound

This paper cites Statistical identification of ringdown modes with rational filters.

Foundations of Direct Waves in Schwarzschild Ringdown Statistical identification of ringdown modes with rational filters

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:41.572468Z

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Observation b12ab25f-19f1-4afa-9eb9-f2501a264b61 · outbound

This paper cites Kankani and S.

Foundations of Direct Waves in Schwarzschild Ringdown Kankani and S

Reference 51

Resolution: verified exact; arxiv_id, observed 2026-07-10T23:37:41.545422Z

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Observation 7badebaa-4f96-400b-9583-990b68c13b65 · outbound

This paper cites Measuring a Black Hole's Area Immediately after Merger: A Direct-Wave Test of Hawking's Area Law.

Foundations of Direct Waves in Schwarzschild Ringdown Measuring a Black Hole's Area Immediately after Merger: A Direct-Wave Test of Hawking's Area Law

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:41.565352Z

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Observation 39df1613-2440-4cce-97d3-ae9d51c28ee6 · outbound

This paper cites Modeling Direct Waves in Binary Black Hole Ringdowns.

Foundations of Direct Waves in Schwarzschild Ringdown Modeling Direct Waves in Binary Black Hole Ringdowns

Reference 53

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Observation ea1120d6-143a-446c-a6f5-dd468274db31 · outbound

This paper cites Gravitational Radiation from Plunging Orbits - Perturbative Study -.

Foundations of Direct Waves in Schwarzschild Ringdown Gravitational Radiation from Plunging Orbits - Perturbative Study -

Reference 54

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Observation de19b004-4f0c-40a9-823b-a6a7be5e7328 · outbound

This paper cites New Generic Ringdown Frequencies at the Birth of a Kerr Black Hole.

Foundations of Direct Waves in Schwarzschild Ringdown New Generic Ringdown Frequencies at the Birth of a Kerr Black Hole

Reference 55

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.278251Z

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Observation 87aa84e1-343d-4c6a-80bd-0d4b6e5c25ee · outbound

This paper cites Vanishing of all redshift modes in Schwarzschild ringdown.

Foundations of Direct Waves in Schwarzschild Ringdown Vanishing of all redshift modes in Schwarzschild ringdown

Reference 56

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.411977Z

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Observation ba21ac0e-add6-4a92-8dac-fa0ea91022f6 · outbound

This paper cites Beyond quasinormal modes: a complete mode decomposition of black hole perturbations.

Foundations of Direct Waves in Schwarzschild Ringdown Beyond quasinormal modes: a complete mode decomposition of black hole perturbations

Reference 57

Resolution: verified exact; arxiv_id, observed 2026-07-10T23:37:41.656196Z

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Observation c4b7dfd4-e957-4315-9352-f5a24748d34c · outbound

This paper cites Decomposition of Schwarzschild Green’s Function.

Foundations of Direct Waves in Schwarzschild Ringdown Decomposition of Schwarzschild Green’s Function

Reference 58

Resolution: verified exact; arxiv_id, observed 2026-07-10T23:37:42.373580Z

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Observation edc0842d-26db-44a1-b6fd-c3d8e4a5c0a2 · outbound

This paper cites Green function of the P\"{o}schl-Teller potential.

Foundations of Direct Waves in Schwarzschild Ringdown Green function of the P\"{o}schl-Teller potential

Reference 59

Resolution: metadata mismatch; local_arxiv, observed 2026-07-10T23:37:41.896057Z

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Observation dc59235e-ab64-40e0-8c12-a438a27a3fad · outbound

This paper cites Singular structures and causality of the Schwarzschild Green’s function in the frequency do- main.

Foundations of Direct Waves in Schwarzschild Ringdown Singular structures and causality of the Schwarzschild Green’s function in the frequency do- main

Reference 60

Resolution: verified exact; arxiv_id, observed 2026-07-10T23:37:41.584643Z

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Observation c8dd4aee-8847-4452-a213-e6572de728f8 · outbound

This paper cites Prompt Response from Plunging Sources in Schwarzschild Spacetime.

Foundations of Direct Waves in Schwarzschild Ringdown Prompt Response from Plunging Sources in Schwarzschild Spacetime

Reference 61

Resolution: metadata mismatch; local_arxiv, observed 2026-07-10T23:37:41.919249Z

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Observation 7b84c5c8-2de5-4885-89bf-762c9c71f310 · outbound

This paper cites an unresolved cited work.

Foundations of Direct Waves in Schwarzschild Ringdown Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-07-10T23:37:45.161100Z

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Observation 27ef138a-133f-4e3a-9e42-de0df5f58634 · outbound

This paper cites Binary black hole merger in the extreme mass ratio limit.

Foundations of Direct Waves in Schwarzschild Ringdown Binary black hole merger in the extreme mass ratio limit

Reference 63

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.200263Z

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Observation 8dcce02c-82e3-47c0-9085-6f0e03ed2e0d · outbound

This paper cites Excitation of f-modes during mergers of spinning binary neutron star.

Foundations of Direct Waves in Schwarzschild Ringdown Excitation of f-modes during mergers of spinning binary neutron star

Reference 64

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:41.997465Z

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Observation 8896e9b8-210a-4a68-8c4f-5fef1a5bb6f7 · outbound

This paper cites The Direct Wave is Not a Meaningful Test of Horizon Properties.

Foundations of Direct Waves in Schwarzschild Ringdown The Direct Wave is Not a Meaningful Test of Horizon Properties

Reference 65

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:41.694957Z

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Observation 4dc1257d-ad36-44cd-a36e-793c4addc3da · outbound

This paper cites Colliding Black Holes: The Close Limit.

Foundations of Direct Waves in Schwarzschild Ringdown Colliding Black Holes: The Close Limit

Reference 66

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.449171Z

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Observation a1a4d74a-72a7-4dbf-b64d-5b49e5d48e07 · outbound

This paper cites The Lazarus project: A pragmatic approach to binary black hole evolutions.

Foundations of Direct Waves in Schwarzschild Ringdown The Lazarus project: A pragmatic approach to binary black hole evolutions

Reference 67

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.250924Z

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Observation 9487c430-1f69-4afd-afe3-4616b01cd90b · outbound

This paper cites A hybrid method for understanding black-hole mergers: head-on case.

Foundations of Direct Waves in Schwarzschild Ringdown A hybrid method for understanding black-hole mergers: head-on case

Reference 68

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:42.467697Z

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Observation 54ede539-4918-436d-9096-031f1e32e6bb · outbound

This paper cites Hybrid method for understanding black-hole mergers: Inspiralling case.

Foundations of Direct Waves in Schwarzschild Ringdown Hybrid method for understanding black-hole mergers: Inspiralling case

Reference 69

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:41.988514Z

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Observation 35dbd92c-4316-48d6-9b65-7d921e79527e · outbound

This paper cites an unresolved cited work.

Foundations of Direct Waves in Schwarzschild Ringdown Unresolved cited work

Reference 70

Resolution: verified exact; arxiv_id, observed 2026-07-10T23:37:42.354280Z

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Observation f90683ac-86a1-491f-a444-24226eb0054e · outbound

This paper cites Colliding black holes: how far can the close approximation go?.

Foundations of Direct Waves in Schwarzschild Ringdown Colliding black holes: how far can the close approximation go?

Reference 71

Resolution: verified exact; local_arxiv, observed 2026-07-10T23:37:41.424114Z

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Observation 2032215e-64cb-41a8-b032-bfee84ad3fcc · outbound

This paper cites Directed acyclic graphs enabling au- tonomous research,.

Foundations of Direct Waves in Schwarzschild Ringdown Directed acyclic graphs enabling au- tonomous research,

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T23:37:45.128823Z

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Observation bfa393d8-f1b9-4da9-9c5d-a75454c14afd · outbound

This paper cites an unresolved cited work.

Foundations of Direct Waves in Schwarzschild Ringdown Unresolved cited work

Reference 73

Resolution: unresolved; raw_fallback, observed 2026-07-10T23:37:45.145385Z

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