Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:26:52.572572Z
Paper Citation Record · LEDGER
As of 23 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 10 inbound Pith citation observations for arXiv:1908.09095.
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 2026-08-14T11:26:52.572572Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T00:46:03.421589Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T18:50:05.357850Z
62 of 62 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 162fdbfc-d07a-4064-8096-8185e8cf2c3f · outbound
Teukolsky formalism for nonlinear Kerr perturbations The linear stability of the Schwarzschild solution to gravitational perturbations
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 602bb2d3-fbe4-4e44-8d6d-53ba7d508dc3 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Our proof thus generalizes that of Wald in the sense that our solutions need not be mode solutions
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3631ff05-5497-4588-abf0-e6c74b7d6955 · outbound
Teukolsky formalism for nonlinear Kerr perturbations corrector tensor
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation bfe0e97c-2205-442f-802f-6388444f5320 · outbound
Teukolsky formalism for nonlinear Kerr perturbations residual gauge vector fields
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7ae262f1-4a38-438b-b450-dd8dbdbb8175 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 64231ecb-c70b-4724-b2f9-fb21cac73594 · outbound
Teukolsky formalism for nonlinear Kerr perturbations In that case,Xa, Φ are distributional as well
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5244f3d1-bd74-4947-a86c-cd97769a718e · outbound
Teukolsky formalism for nonlinear Kerr perturbations The remaining 4 real components Tnn,Tmn,T ¯mm enter implicitly through the conservation law∇aTab = 0 (4 real equations)
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5737c5ba-58f3-459b-bd9e-8adaaa89e485 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0ad011f9-f35e-488d-8c38-bcb958780922 · outbound
Teukolsky formalism for nonlinear Kerr perturbations In that case, Xa, Φ,η are distributional as well
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 65a8009f-8a1b-4127-b0f3-1e9bcba98194 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5d0f41c5-8049-4c2b-9844-14b94bfdfba8 · outbound
Teukolsky formalism for nonlinear Kerr perturbations outgoing radiation gauge
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a4c104c6-812a-4e22-871b-88d3433f7eb8 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: the case $|a|\ll M$
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e3f93b1-e2da-48d0-83b3-674f23b75021 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Stability for linearized gravity on the Kerr spacetime
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ec10005f-7321-442f-9d5c-8f529e0faaa6 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Chandrasekhar,The Mathematical Theory of Black Holes(Clarendon Press, Oxford, 1983)
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a9080c40-3ef5-4a95-afa5-847298e08cc0 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Perturbations of a rotating black hole. 1. Fundamental equations for gravitational electromagnetic and neutrino field perturbations,
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f7c66f2e-badb-4d91-9c96-1b6111cb50a3 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Rotating Black Holes: Separable Wave Equations for Gravitational and Electromagnetic Perturbations,
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7c3127b0-0fc7-4759-9157-02d8ff72daed · outbound
Teukolsky formalism for nonlinear Kerr perturbations Vector Potential and Metric Perturbations of a Rotating Black Hole,
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 58485fd0-3a53-4363-b8ad-26893b7317fa · outbound
Teukolsky formalism for nonlinear Kerr perturbations Constructive procedure for perturbations of spacetimes,
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8971437d-1230-48d0-b7e1-219b807cbbb4 · outbound
Teukolsky formalism for nonlinear Kerr perturbations An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9cd28691-a62e-4637-ac3b-866a7c3ade53 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Gravitational Radiation Reaction to a Particle Motion
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 095fdc14-5357-479b-b095-ecc106acb4ad · outbound
Teukolsky formalism for nonlinear Kerr perturbations Gravitational self force and gauge transformations
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 093396d7-c44e-4347-b7f9-d87cca461337 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Gravitational self-force from radiation-gauge metric perturbations
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02d2b323-427d-4ae6-ab1d-a011937f29e1 · outbound
Teukolsky formalism for nonlinear Kerr perturbations On finding fields and self-force in 50 a gauge appropriate to separable wave equations,
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ff2bf7b0-2afa-4cdc-a7cf-e43676d77df6 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Gravitational Self-force in a Radiation Gauge
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7728dc1a-c51d-4afd-8839-c539a33e3611 · outbound
Teukolsky formalism for nonlinear Kerr perturbations TOPICAL REVIEW: Quasinormal modes: the characteristic ‘sound’ of black holes and neutron stars,
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c5025f98-2b06-4acc-9e11-876d56f5572e · outbound
Teukolsky formalism for nonlinear Kerr perturbations Slow relaxation of rapidly rotating black holes
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d405f155-85b8-4627-ab5f-9c2fc990a8cb · outbound
Teukolsky formalism for nonlinear Kerr perturbations Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49eb84ef-0994-458e-a24c-ef98b08a3c4f · outbound
Teukolsky formalism for nonlinear Kerr perturbations Transient Instability of Rapidly Rotating Black Holes
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8faa7579-1481-49f5-9c96-8019faa73b2f · outbound
Teukolsky formalism for nonlinear Kerr perturbations Turbulent Black Holes
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f247b3bd-6ae4-469b-9744-4b903288d3b3 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Unresolved cited work
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ac3419c-277b-4d26-a5db-cc5b9c5393d6 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Perturbations of a rotating black hole. III - Interaction of the hole with gravitational and electromagnetic radiation,
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation eb4fae93-1494-4499-a749-5a547970a743 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5c132875-2df2-4bb6-ac93-463c67711adf · outbound
Teukolsky formalism for nonlinear Kerr perturbations Orthogonality of Kerr quasinormal modes,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 628f9165-ac08-4644-b13b-3ce0e383425b · outbound
Teukolsky formalism for nonlinear Kerr perturbations Green, Stefan Hollands, and Peter Zimmerman, (in prep.)
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 541350c8-54d9-47f2-8ec5-c6386b607bc9 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Canonical Energy and Hertz Potentials for Perturbations of Schwarzschild Spacetime
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23d5f1d5-97b3-480c-8e38-3c58bcea115a · outbound
Teukolsky formalism for nonlinear Kerr perturbations Quantum fields in curved spacetime
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ef80ef4-ed38-4174-ac7b-7fc2d88e6d95 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Renormalized Quantum Yang-Mills Fields in Curved Spacetime
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 64b5c187-14b1-4d23-9236-b3bd60682f15 · outbound
Teukolsky formalism for nonlinear Kerr perturbations A space-time calculus based on pairs of null 51 directions,
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e52dd619-4b6a-474f-b767-b1dc9236caf2 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Republication of: A theorem on Petrov types,
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e19e77a2-a660-4153-9ab8-28468e158580 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Some spherical gravitational waves in general relativity,
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2b3c1e87-b356-42b1-88f3-86bfa96b40a7 · outbound
Teukolsky formalism for nonlinear Kerr perturbations A formalism for the investigation of algebraically special metrics. II,
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7c6cc1c1-aa78-43cc-ad9a-a21c7d1b0b37 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 126b69bd-b578-405b-8109-734c6abd22b6 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Construction of Solutions of Gravitational, Electromagnetic, Or Other Perturbation Equations from Solutions of Decoupled Equations,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 78754bbf-c0a4-4229-a382-d9cbc5b8308d · outbound
Teukolsky formalism for nonlinear Kerr perturbations Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ea0589a5-bf63-48c8-9d24-44cb71ad2c3d · outbound
Teukolsky formalism for nonlinear Kerr perturbations Stability of Black Holes and Black Branes
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 210ba1e5-b5db-439b-a39b-dbe24e7b89d8 · outbound
Teukolsky formalism for nonlinear Kerr perturbations On perturbations of a Kerr black hole
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6b0e1d21-fc7e-4983-98f1-9f8884585b8a · outbound
Teukolsky formalism for nonlinear Kerr perturbations Uniform energy bound and Morawetz estimate for extreme components of spin fields in the exterior of a slowly rotating Kerr black hole II: linearized gravity
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e20b4ba9-7e4b-4ea4-a377-79a3c1c54aa7 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Price,Developments in the perturbation theory of algebraically special spacetimes, Ph.D
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 034fb07a-153d-4110-9e56-90bdbf8718a7 · outbound
Teukolsky formalism for nonlinear Kerr perturbations New identities for linearized gravity on the Kerr spacetime
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2527986d-68b8-4c1b-8e2a-61858c25b1ca · outbound
Teukolsky formalism for nonlinear Kerr perturbations Integration in the GHP formalism IV: A new Lie derivative operator leading to an efficient treatment of Killing vectors,
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6cb5cbd2-535e-4b78-ac1d-8c896e6eff1e · outbound
Teukolsky formalism for nonlinear Kerr perturbations A formalism for the investigation of algebraically special metrics. I,
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 10d1446d-ac36-41f6-83f9-a56cbe4758cb · outbound
Teukolsky formalism for nonlinear Kerr perturbations Type D Vacuum Metrics,
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 30dd59ce-99a2-406d-a10b-e96648d0264c · outbound
Teukolsky formalism for nonlinear Kerr perturbations Algebraically special perturbations of the schwarzschild 52 metric,
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e3713f8b-f06b-4e60-a1a3-1029bee1e3c5 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Rotating, charged, and uniformly accelerating mass in general relativity,
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 52064d79-d9e0-4623-af49-85a9c1d406ec · outbound
Teukolsky formalism for nonlinear Kerr perturbations On the Existence of Radiation Gauges in Petrov type II spacetimes
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 19b8e043-6924-4693-8d2a-8deef9af1f92 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Asymptotic simplicity is stable,
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4886f97a-8a3f-4287-81e6-88dc98043b5e · outbound
Teukolsky formalism for nonlinear Kerr perturbations Edth-a differential operator on the sphere,
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b2dc1591-b15e-4deb-8518-2348c79326fa · outbound
Teukolsky formalism for nonlinear Kerr perturbations Spin-s spherical harmonics andð,
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3a3abb1c-d773-4ee8-8adb-796017d6dee1 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Bondi-Sachs Formalism
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation af969121-2332-4bfe-b4ec-264bcb2b44ca · outbound
Teukolsky formalism for nonlinear Kerr perturbations Mode stability on the real axis
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c0365a75-87d4-4237-b46c-e34e7fe16b84 · outbound
Teukolsky formalism for nonlinear Kerr perturbations Second order gauge invariant gravitational perturbations of a Kerr black hole
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6735db0c-56f1-47a8-a42c-f6c3e044f88b · outbound
Teukolsky formalism for nonlinear Kerr perturbations Reconstruction of inhomogeneous metric perturbations and electromagnetic four-potential in Kerr spacetime
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7a80a474-849d-4b76-98dc-5fa1b19c7d69 · inbound
Extreme mass-ratio inspiral within an ultralight scalar cloud I. Scalar radiation Teukolsky formalism for nonlinear Kerr perturbations
Reference 140
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9bc563d8-17cd-4cc1-8c9c-64d99386d3d2 · inbound
Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Teukolsky formalism for nonlinear Kerr perturbations
Reference 85
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f29b079a-8086-4ce0-b4f7-5b5c5ee8733a · inbound
Perturbations of Plane Waves and Quadratic Quasinormal Modes on the Lightring Teukolsky formalism for nonlinear Kerr perturbations
Reference 139
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54879667-378e-4948-ab65-3f263b48e9f8 · inbound
Unifying the Regge-Wheeler-Zerilli and Bardeen-Press-Teukolsky formalisms on spherical backgrounds Teukolsky formalism for nonlinear Kerr perturbations
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b5cac43f-1f9e-4cc6-b69a-4604ceebb403 · inbound
Metric Reconstruction for Generic Black-Hole Perturbations Teukolsky formalism for nonlinear Kerr perturbations
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2fef458f-81d8-4c0a-bd4e-f4a19ddde181 · inbound
Self-force calculations with numerical relativity methods Teukolsky formalism for nonlinear Kerr perturbations
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2f8b0dd6-2138-4e51-8e13-f4c1aa739652 · inbound
Modified Teukolsky Formalism for Extreme Mass-Ratio Inspirals in Higher-Derivative Gravity Teukolsky formalism for nonlinear Kerr perturbations
Reference 76
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 27460308-4ce3-4752-ad0f-5025534cf3d1 · inbound
The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory Teukolsky formalism for nonlinear Kerr perturbations
Reference 125
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 293d45c7-7d34-4a05-8250-4ea39c97deb2 · inbound
Schr\"odinger perturbation theory for black hole quasinormal modes Teukolsky formalism for nonlinear Kerr perturbations
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3cdf722-7358-478d-91df-532d55b8337d · inbound
Schwarzschild perturbations in Lorenz gauge via elliptic differential equations Teukolsky formalism for nonlinear Kerr perturbations
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.