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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit

As of 23 August 2026, this Paper Citation Record lists 100 of 115 outbound references and 3 inbound Pith citation observations for arXiv:2507.07746.

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2507.07746 v2

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Source: arxiv_reference, observed 2026-07-03T02:57:35.527482Z

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Observation 6546ef81-1fcf-428f-be9e-2fc3415e4527 · outbound

This paper cites First, we ensure that our generic regularization parameter, described in Sec.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit First, we ensure that our generic regularization parameter, described in Sec

Reference 1

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Observation 929ff9c4-e87e-4ffa-a065-fff704a2ef89 · outbound

This paper cites However, to the best of our knowledge, current post- Newtonian expansions of the redshift are limited to non- precessing systems, preventing a similar comparison in this work.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit However, to the best of our knowledge, current post- Newtonian expansions of the redshift are limited to non- precessing systems, preventing a similar comparison in this work

Reference 2

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Observation 8b5874a1-6f47-423a-b116-920aced16d6f · outbound

This paper cites All values were com- puted from ORG perturbations.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit All values were com- puted from ORG perturbations

Reference 3

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Observation 015ac13f-0b99-4290-a9b4-05a2411a2e84 · outbound

This paper cites We recommend Refs.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit We recommend Refs

Reference 4

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Observation ce44ce2d-1a17-4959-bde4-97d3d850d92e · outbound

This paper cites A 1, the operators T0,4 in Eq.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit A 1, the operators T0,4 in Eq

Reference 5

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

Reference 6

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

Reference 8

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

Reference 10

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Observation b691ac13-66e8-4bca-b63a-a4f7f8e7bd3e · outbound

This paper cites [90] for more on monodromy).

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit [90] for more on monodromy)

Reference 11

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

Reference 12

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

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This paper cites 29 In the following subsections, we summarize the key nu- merical algorithms employed within each package.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit 29 In the following subsections, we summarize the key nu- merical algorithms employed within each package

Reference 16

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This paper cites (8) and frequencies in Eq.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit (8) and frequencies in Eq

Reference 17

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This paper cites (39) and (72).

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit (39) and (72)

Reference 18

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit (40) are produced with the pybhpt.radial library

Reference 19

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit (45), in particular the Teukolsky amplitudes Z J ±2jmω [as de- fined in Eq

Reference 20

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This paper cites Given inhomogeneous Teukolsky so- lutions and a choice of gauge, this library computes the Hertz amplitudes Z J sjmω via Eqs.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Given inhomogeneous Teukolsky so- lutions and a choice of gauge, this library computes the Hertz amplitudes Z J sjmω via Eqs

Reference 21

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit F are pro- vided in the library pybhpt.metric

Reference 22

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit IV C with those in App

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

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Observation c118b143-efc7-40c0-8365-8095f941f2b3 · outbound

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Self-force and radiation reaction in general relativity

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Pound and B

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit The unique potential of extreme mass-ratio inspirals for gravitational-wave astronomy

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit The Laser Interferometer Space Antenna: Unveiling the Millihertz Gravitational Wave Sky

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Transient resonances in the inspirals of point particles into black holes

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit van de Meent, Conditions for sustained orbital reso- nances in extreme mass ratio inspirals, Phys

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Second-order self-force calculation of the gravitational binding energy in compact binaries

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Accuracy Requirements: Assessing the Importance of First Post-Adiabatic Terms for Small-Mass-Ratio Binaries

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Intermediate mass-ratio black hole binaries: Applicability of small mass-ratio perturbation theory

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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Gravitational self-force on a particle in eccentric orbit around a Schwarzschild black hole

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Observation f3cc5f80-d609-4c05-930a-cb6762884092 · outbound

This paper cites Conservative, gravitational self-force for a particle in circular orbit around a Schwarzschild black hole in a Radiation Gauge.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Conservative, gravitational self-force for a particle in circular orbit around a Schwarzschild black hole in a Radiation Gauge

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Observation 33580db0-d129-4b5d-9639-a63f20740f65 · outbound

This paper cites EMRI corrections to the angular velocity and redshift factor of a mass in circular orbit about a Kerr black hole.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit EMRI corrections to the angular velocity and redshift factor of a mass in circular orbit about a Kerr black hole

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Observation 8dd9c89f-009d-4976-b861-6a91ca712b37 · outbound

This paper cites Frequency-domain algorithm for the Lorenz-gauge gravitational self-force.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Frequency-domain algorithm for the Lorenz-gauge gravitational self-force

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Observation e9842f71-d274-4d75-a98f-9bcd7bb62d14 · outbound

This paper cites Metric perturbations produced by eccentric equatorial orbits around a Kerr black hole.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Metric perturbations produced by eccentric equatorial orbits around a Kerr black hole

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Observation 768858c0-2589-493d-bb0a-abb288183501 · outbound

This paper cites Osburn, N.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Osburn, N

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source=pdf_text observed=2026-08-06T18:38:43.847890Z digest=sha256:5ecf691f4765765ad0385641d315e96849c256453aef7d4f0030fa7b5e8ba509

Observation df7da2fc-d903-4ade-8ac3-27aea60caeef · outbound

This paper cites Metric perturbations of Kerr spacetime in Lorenz gauge: Circular equatorial orbits.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Metric perturbations of Kerr spacetime in Lorenz gauge: Circular equatorial orbits

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source=pdf_text observed=2026-08-06T18:38:43.940632Z digest=sha256:fd7716a62371ad45bd9ce50184e80d1cc59e25ad0c807d880fd0a20de3342ef1

Observation bf79eb23-0d07-4518-9e32-3c30d8dbec93 · outbound

This paper cites Evolution of small-mass-ratio binaries with a spinning secondary.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Evolution of small-mass-ratio binaries with a spinning secondary

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source=pdf_text observed=2026-08-06T18:38:43.987640Z digest=sha256:e7e950b066f091df80c62db34c3412d121cda6ebdf6b515a6c0f1a50fb153d4b

Observation 4b82d1be-ebf7-4fb4-98b5-c9923a073ed6 · outbound

This paper cites Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio

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source=pdf_text observed=2026-08-06T18:38:44.083404Z digest=sha256:eef004f6a399adbc9972aa7d7af62e66a16dd48dd54d31f51a43f107e7aa4076

Observation 56e0c02f-2799-4d15-bf87-e92af3dd84bb · outbound

This paper cites Gravitational self-force on generic bound geodesics in Kerr spacetime.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Gravitational self-force on generic bound geodesics in Kerr spacetime

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source=pdf_text observed=2026-08-06T18:38:44.153266Z digest=sha256:18f02828fab202ca36f8a1973e358df0aed7b769e89491d3750cc304d34a81d9

Observation 26c796a8-3262-440b-b131-1610d58406cd · outbound

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

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Gravitational waveforms for compact binaries from second-order self-force theory

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no resolver link, observed 2026-08-06T18:38:44.241678Z

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source=pdf_text observed=2026-08-06T18:38:44.241678Z digest=sha256:dbc0fef4bcd8c743b67bc904f7f0096e4c6a1125692316d7a96ca80e99831aa9

Observation 2a47a973-4041-4272-ab81-bbf873880332 · outbound

This paper cites Dissipation in extreme-mass ratio binaries with a spinning secondary.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Dissipation in extreme-mass ratio binaries with a spinning secondary

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no resolver link, observed 2026-08-06T18:38:44.343260Z

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source=pdf_text observed=2026-08-06T18:38:44.343260Z digest=sha256:185bb5ba92123ceba9ee452feec3d533c1ba3fbc6127aeeaf8d364b49c6e6929

Observation 53f4cc8c-f429-42b2-8b21-f18a32e221f6 · outbound

This paper cites Nasipak, PYBHPT: A python package for solving problems in black hole perturbation theory (2023).

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Nasipak, PYBHPT: A python package for solving problems in black hole perturbation theory (2023)

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source=pdf_text observed=2026-08-06T18:38:44.390539Z digest=sha256:9fdaa1b6ec56816b48a5e9189c6b5fe015feda1e772530ec30d91c2d93ccab5a

Observation ba7d045b-83c4-4226-a572-e7b736548e7f · outbound

This paper cites Nasipak, znasipak/pybhpt: Metric reconstruction and redshift (2025).

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Nasipak, znasipak/pybhpt: Metric reconstruction and redshift (2025)

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source=pdf_text observed=2026-08-06T18:38:44.579674Z digest=sha256:4c9e83cf553ae4f7001d601b8dbc912cc7e0ddb482d967bac73824f75901ae89

Observation ad1b4fee-01ce-4ec3-be2d-843458f9cad9 · outbound

This paper cites First Law of Mechanics for Compact Binaries on Eccentric Orbits.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit First Law of Mechanics for Compact Binaries on Eccentric Orbits

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source=pdf_text observed=2026-08-06T18:38:44.679170Z digest=sha256:7acfa88bf4c5b4cde208f6414bc333f19cdba79371cddcdce3dcb9e75c5fd3fc

Observation 17194360-4f70-4efb-b6ba-95d0e63036d1 · outbound

This paper cites Hamiltonian Formulation of the Conservative Self-Force Dynamics in the Kerr Geometry.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Hamiltonian Formulation of the Conservative Self-Force Dynamics in the Kerr Geometry

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source=pdf_text observed=2026-08-06T18:38:44.784489Z digest=sha256:8518fc4cfb22d3f5db1edc6f2ce8e441651c63f08040e897f4cdf2501fff9a8b

Observation 57130b2e-52fe-4ed6-abf6-30a2d0417b39 · outbound

This paper cites Lewis, T.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Lewis, T

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Observation 6f7e7f62-0272-4e73-a642-f476db047a75 · outbound

This paper cites an unresolved cited work.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

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Observation e5c8e0c7-e78e-4a1f-bca4-a25018e7b689 · outbound

This paper cites an unresolved cited work.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

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Observation 74b27d1f-a5d7-42ec-a693-5f4dccc27b7e · outbound

This paper cites an unresolved cited work.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

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Observation 2e9eb3e4-b337-4a1b-967a-3ee3aa32c0d6 · outbound

This paper cites an unresolved cited work.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

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source=pdf_text observed=2026-08-06T18:38:45.291428Z digest=sha256:8fdadb2b820f6a89d799387d8bd83801f68309a617828ccb8f3786fcb47c9b41

Observation a3cb6ad3-737d-460a-90aa-4eda486dfbdd · outbound

This paper cites New identities for linearized gravity on the Kerr spacetime.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit New identities for linearized gravity on the Kerr spacetime

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source=pdf_text observed=2026-08-06T18:38:45.368738Z digest=sha256:3c449e7b54c9371852b2c8e1492e78871288e5bb177b4fa479451755c49eee51

Observation 68731b7f-f6ef-4921-9c4d-066e73ee1e93 · outbound

This paper cites Teukolsky, Perturbations of a rotating black hole.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Teukolsky, Perturbations of a rotating black hole

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source=pdf_text observed=2026-08-06T18:38:45.480100Z digest=sha256:7cd50ad386de21d7d777526d1ce7c7a9859359f1c90a3d348fa712d29518b8cd

Observation 08d6e602-c9ab-4918-a3e5-fd29f8d36fd0 · outbound

This paper cites Ori, Reconstruction of inhomogeneous metric per- turbations and electromagnetic four-potential in Kerr spacetime, Phys.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Ori, Reconstruction of inhomogeneous metric per- turbations and electromagnetic four-potential in Kerr spacetime, Phys

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Observation 099b908c-dd7d-4eb9-9b81-71ceb7a71135 · outbound

This paper cites van de Meent, Gravitational self-force on eccentric equatorial orbits around a kerr black hole, Phys.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit van de Meent, Gravitational self-force on eccentric equatorial orbits around a kerr black hole, Phys

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source=pdf_text observed=2026-08-06T18:38:45.611202Z digest=sha256:6c1667989daeaf57fc12e0c26358ff0fbfd7c9cd22a71140181d196153225c7c

Observation 4993bb73-5e9b-421e-aeea-3a33de03c04b · outbound

This paper cites Berens, T.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Berens, T

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Observation f614655f-f2f3-4c30-8712-63db56c53bac · outbound

This paper cites Metric Reconstruction in Kerr Spacetime.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Metric Reconstruction in Kerr Spacetime

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Observation 066e3c02-075c-44fa-8d2b-ed624401acd8 · outbound

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

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Gravitational perturbations of rotating black holes in Lorenz gauge

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source=pdf_text observed=2026-08-06T18:38:45.860132Z digest=sha256:d85c8d3d0b55a1786ef281f5787c8d744be77dc1a557ca5c9e8688b53a1c2ae3

Observation 8293c5f4-d1cb-4853-b2c9-2e150c4708e0 · outbound

This paper cites Wardell, C.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Wardell, C

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source=pdf_text observed=2026-08-06T18:38:45.991560Z digest=sha256:b25047d1c376faaa06e02b27d67367222ca6689907199640fd42f6e31fc05b3a

Observation 0f2af97c-d182-4552-af10-47b863e33326 · outbound

This paper cites A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry

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source=pdf_text observed=2026-08-06T18:38:46.098926Z digest=sha256:427ecd647e446b7625cc6a7f61d1db35d8fd6fea1f7ed605b1a5160b076c2e7e

Observation 39b3d980-6b6b-4c84-ad27-c1bdb6ca4dfa · outbound

This paper cites Beyond the geodesic approximation: conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Beyond the geodesic approximation: conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole

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source=pdf_text observed=2026-08-06T18:38:46.207430Z digest=sha256:1bb79fd5ad30ef4fd869d721ff6d3a60f9577bcb84ebb4f6af8f77d9ae2a49bb

Observation 65934ec5-5e67-4589-b43b-77e0ac6e4d7a · outbound

This paper cites Comparison Between Self-Force and Post-Newtonian Dynamics: Beyond Circular Orbits.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Comparison Between Self-Force and Post-Newtonian Dynamics: Beyond Circular Orbits

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source=pdf_text observed=2026-08-06T18:38:46.315708Z digest=sha256:5a967bd5d1d4b60835bfef6c22bd730d72fa1e9fde3f7f1d964693ec979e76d7

Observation aec20c10-ecdb-4329-afd8-2ae7d2486db5 · outbound

This paper cites Self-force via a Green's function decomposition.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Self-force via a Green's function decomposition

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source=pdf_text observed=2026-08-06T18:38:46.410727Z digest=sha256:d1c0cbd669b5eb975dff97b2c25264a92eb2edf5ad6a3bc40a5e1bd3994406be

Observation f0b238dc-7b89-434a-b6e0-c1111dafea59 · outbound

This paper cites Regularization of a scalar charged particle for generic orbits in Kerr spacetime.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Regularization of a scalar charged particle for generic orbits in Kerr spacetime

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local_arxiv, observed 2026-08-06T18:38:52.887805Z

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source=pdf_text observed=2026-08-06T18:38:46.488418Z digest=sha256:0b2d9fbf82ffb6523bdf6ecd9b95f7c361159f982a07cad259c17f0fa26388b6

Observation 3c7723c5-52a2-43e4-a60d-925074811a41 · outbound

This paper cites The location of the last stable orbit in Kerr spacetime.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit The location of the last stable orbit in Kerr spacetime

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local_arxiv, observed 2026-08-06T18:38:52.729805Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T18:38:46.585521Z digest=sha256:0ec202ea238e9f8f94df401204da57f5c95be2ed18bb03f7cea823f4c4adf8da

Observation 78af2267-c32a-41aa-999b-dd9b13543a38 · outbound

This paper cites Analytical solutions of bound timelike geodesic orbits in Kerr spacetime.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Analytical solutions of bound timelike geodesic orbits in Kerr spacetime

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source=pdf_text observed=2026-08-06T18:38:46.678157Z digest=sha256:e77aa0f62c4b98e7d035fb07871dfdd2cf531f37da15c4226d97470b739d7682

Observation 6c8a791d-8f6b-49bb-87e1-06169e90a48a · outbound

This paper cites van de Meent, Analytic solutions for parallel transport along generic bound geodesics in kerr spacetime, Classical and Quantum Gravity 37, 145007 (2020).

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit van de Meent, Analytic solutions for parallel transport along generic bound geodesics in kerr spacetime, Classical and Quantum Gravity 37, 145007 (2020)

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T18:38:46.735146Z digest=sha256:cc748134d9015b7e67536da0b20e361a8fb19a0534d2bc5d1e5d33496c20710a

Observation a842d8b0-0323-4ee9-a768-16a6341f7b07 · outbound

This paper cites Kerr-fully Diving into the Abyss: Analytic Solutions to Plunging Geodesics in Kerr.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Kerr-fully Diving into the Abyss: Analytic Solutions to Plunging Geodesics in Kerr

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source=pdf_text observed=2026-08-06T18:38:46.829807Z digest=sha256:89b966e6f2c33d9d1be9099e2d27a359a02518fbb456b126cbff5f004b722bdc

Observation 1a82dab7-6351-42b7-b5d3-1e717be51b5a · outbound

This paper cites Fast spectral source integration in black hole perturbation calculations.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Fast spectral source integration in black hole perturbation calculations

Reference 75

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local_arxiv, observed 2026-08-06T18:38:52.556075Z

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source=pdf_text observed=2026-08-06T18:38:46.917562Z digest=sha256:99457d72252b84b8b2d1d2efb1e0f39cc8fe05855791817b5fe053bb923071c2

Observation e54a6cea-f3ae-4abf-9990-3e956ef4a1d0 · outbound

This paper cites Repeated faint quasinormal bursts in extreme-mass-ratio inspiral waveforms: Evidence from frequency-domain scalar self-force calculations on generic Kerr orbits.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Repeated faint quasinormal bursts in extreme-mass-ratio inspiral waveforms: Evidence from frequency-domain scalar self-force calculations on generic Kerr orbits

Reference 76

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source=pdf_text observed=2026-08-06T18:38:46.964945Z digest=sha256:9fa06eb6ea69d3583173cb5e086165f7f4f720387b41e9849d21ecae67ca1ae6

Observation 6d5d8240-0848-4c12-afdb-850e555cbb0f · outbound

This paper cites Computing inspirals in Kerr in the adiabatic regime. I. The scalar case.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Computing inspirals in Kerr in the adiabatic regime. I. The scalar case

Reference 77

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Observation 26d1b36c-fa16-49cf-b2b9-2d902fe87b52 · outbound

This paper cites Resonant self-force effects in extreme-mass-ratio binaries: A scalar model.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Resonant self-force effects in extreme-mass-ratio binaries: A scalar model

Reference 78

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local_arxiv, observed 2026-08-06T18:38:52.399920Z

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source=pdf_text observed=2026-08-06T18:38:47.113713Z digest=sha256:8551cc522c9d3e40a9272ab1af30cab5495a4a33e2345cf1154fa83ae779b6cd

Observation 51363400-02be-47da-b84d-305267600bb7 · outbound

This paper cites Newman and R.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Newman and R

Reference 79

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source=pdf_text observed=2026-08-06T18:38:47.208628Z digest=sha256:15835309202f15bcdec3b611844dde8d6adf4e822589b89bada7b74fae138a8e

Observation 0dd7a833-2c95-4d42-a798-e15b0abd49e7 · outbound

This paper cites Newman and R.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Newman and R

Reference 80

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source=pdf_text observed=2026-08-06T18:38:47.284758Z digest=sha256:27e306c1474061915b42111b01f1f40469c9565e5f4e88f6f36dda8815a557f7

Observation 6b82b675-3ff2-43c6-acad-1ca308f7765c · outbound

This paper cites an unresolved cited work.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Unresolved cited work

Reference 81

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source=pdf_text observed=2026-08-06T18:38:47.362872Z digest=sha256:dfdd8f83d55a4eb716fef65f78e1718e1d850a8899d58108406f9b1166fb6778

Observation 76c354a6-f913-4821-af64-b5546350c558 · outbound

This paper cites Gravitational self-force from radiation-gauge metric perturbations.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Gravitational self-force from radiation-gauge metric perturbations

Reference 82

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Observation 4dfd1ecc-cd68-4053-9acc-43506f74c9fa · outbound

This paper cites Completion of metric reconstruction for a particle orbiting a Kerr black hole.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Completion of metric reconstruction for a particle orbiting a Kerr black hole

Reference 83

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source=pdf_text observed=2026-08-06T18:38:47.558469Z digest=sha256:5d49ea31142e0dae99537397361e1c9759d82cf2585f2bb38fb0bea1b160f0d8

Observation 13fb0dcd-96b9-454a-88cc-5e485ea903d0 · outbound

This paper cites The mass and angular momentum of reconstructed metric perturbations.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit The mass and angular momentum of reconstructed metric perturbations

Reference 84

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local_arxiv, observed 2026-08-06T18:38:52.169074Z

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source=pdf_text observed=2026-08-06T18:38:47.578623Z digest=sha256:8ad5458a2a8f1fda9735e3979dcb168dfca37f65df2842b2586bb42fdc2946cf

Observation 9bc563d8-17cd-4cc1-8c9c-64d99386d3d2 · outbound

This paper cites Teukolsky formalism for nonlinear Kerr perturbations.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Teukolsky formalism for nonlinear Kerr perturbations

Reference 85

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source=pdf_text observed=2026-08-06T18:38:47.664451Z digest=sha256:8fb54c055cc4dc021785666fa0394ef613e01422ff860204465ad4a69a63c77e

Observation 52bb4a49-0ab8-4470-88cc-c766cea3e4cc · outbound

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

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit New metric reconstruction scheme for gravitational self-force calculations

Reference 86

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source=pdf_text observed=2026-08-06T18:38:47.777073Z digest=sha256:2f8ed4c71a489376d3f5d3edcfdd8262d227b2ddd5cc4633fc0fdf404189105a

Observation 6b13582c-1194-4d79-a5c8-d1456165385d · outbound

This paper cites Implementation of a GHZ-Teukolsky puncture scheme for gravitational self-force calculations.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Implementation of a GHZ-Teukolsky puncture scheme for gravitational self-force calculations

Reference 87

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Observation a5b0cc7b-cf97-445f-8340-1f1f700aa75d · outbound

This paper cites Gauge-fixing for the completion problem of reconstructed metric perturbations of a Kerr spacetime.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Gauge-fixing for the completion problem of reconstructed metric perturbations of a Kerr spacetime

Reference 88

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local_arxiv, observed 2026-08-06T18:38:51.987279Z

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source=pdf_text observed=2026-08-06T18:38:48.044369Z digest=sha256:db18f532d07f152bd0ea2580bb79d4e69567428a2fd577186400dd6b4749147f

Observation c449ce8e-753a-4805-843e-7ed9b6369692 · outbound

This paper cites New gravitational self-force analytical results for eccentric orbits around a Schwarzschild black hole.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit New gravitational self-force analytical results for eccentric orbits around a Schwarzschild black hole

Reference 89

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Observation f2d91483-546a-4edb-9153-0355a4f24fa1 · outbound

This paper cites High post-Newtonian order gravitational self-force analytical results for eccentric orbits around a Kerr black hole.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit High post-Newtonian order gravitational self-force analytical results for eccentric orbits around a Kerr black hole

Reference 90

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local_arxiv, observed 2026-08-06T18:38:51.831957Z

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Observation 6a6f6f57-458b-4c9e-a0fa-09d9fd768434 · outbound

This paper cites Spin-orbit precession along eccentric orbits: improving the knowledge of self-force corrections and of their effective-one-body counterparts.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Spin-orbit precession along eccentric orbits: improving the knowledge of self-force corrections and of their effective-one-body counterparts

Reference 91

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local_arxiv, observed 2026-08-06T18:38:51.600721Z

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source=pdf_text observed=2026-08-06T18:38:48.431918Z digest=sha256:a06c6b520c73b08784533833e24278445b2ef8171868a98ad608f26123c63a9c

Observation c72928b9-ceb1-4695-a988-a2d744d61c6d · outbound

This paper cites New gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole: redshift invariant.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit New gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole: redshift invariant

Reference 92

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Observation fadbc8e9-b608-4ccc-9d38-457a84e24e53 · outbound

This paper cites The First Law of Binary Black Hole Mechanics in General Relativity and Post-Newtonian Theory.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit The First Law of Binary Black Hole Mechanics in General Relativity and Post-Newtonian Theory

Reference 93

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Observation fef12457-9c57-4f0f-839f-842bd96a03a6 · outbound

This paper cites Frequency-domain calculation of the self force: the high-frequency problem and its resolution.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Frequency-domain calculation of the self force: the high-frequency problem and its resolution

Reference 94

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Observation edfaac2d-0853-4164-b259-e0b3c56cbb26 · outbound

This paper cites The evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit The evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission

Reference 95

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This paper cites Mode sum regularization approach for the self-force in black hole spacetime.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Mode sum regularization approach for the self-force in black hole spacetime

Reference 96

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source=pdf_text observed=2026-08-06T18:38:48.788852Z digest=sha256:a355b4c67ea1a4d2da5855302f64e2c9cd6dcb27272ab5e814d48bfe4b894b2c

Observation 8b98bb27-0da2-4eef-bc02-52c0280856f8 · outbound

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

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit High-order expansions of the Detweiler-Whiting singular field in Kerr spacetime

Reference 97

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source=pdf_text observed=2026-08-06T18:38:48.863994Z digest=sha256:6a7ed724d60011e7f127d23189ab9d9cee2e89e11c9758404c1c00f1fff18720

Observation 74d28a8e-3218-4e30-913d-880e0734d6e0 · outbound

This paper cites Gravitational self-force on a particle orbiting a Kerr black hole.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Gravitational self-force on a particle orbiting a Kerr black hole

Reference 98

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source=pdf_text observed=2026-08-06T18:38:48.971983Z digest=sha256:72d99c5190ffd6c89ccec0a1424e1281afc616132942a1d4be9f9af935a8cd77

Observation fcd8aed2-0eda-409b-9674-84774ad4fae7 · outbound

This paper cites Heffernan, Self-force regularisation parameters package (2022), https://doi.org/10.5281/zenodo.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Heffernan, Self-force regularisation parameters package (2022), https://doi.org/10.5281/zenodo

Reference 99

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This paper cites Adiabatic evolution due to the conservative scalar self-force during orbital resonances.

Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit Adiabatic evolution due to the conservative scalar self-force during orbital resonances

Reference 100

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Secular evolution of orbital parameters for general bound orbits in Kerr spacetime Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit

Reference 29

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Metric Reconstruction for Generic Black-Hole Perturbations Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit

Reference 41

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arxiv_id, observed 2026-07-14T02:21:18.545884Z

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Modified Teukolsky Formalism for Extreme Mass-Ratio Inspirals in Higher-Derivative Gravity Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit

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