Pith. sign in

REVIEW 11 cited by

Perturbative Approach to an orbital evolution around a Supermassive black hole

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv gr-qc/0302075 v1 pith:6PJOID27 submitted 2003-02-18 gr-qc

Perturbative Approach to an orbital evolution around a Supermassive black hole

classification gr-qc
keywords particleblackgeodesicholemassorbitorbitalradiation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

A charge-free, point particle of infinitesimal mass orbiting a Kerr black hole is known to move along a geodesic. When the particle has a finite mass or charge, it emits radiation which carries away orbital energy and angular momentum, and the orbit deviates from a geodesic. In this paper we assume that the deviation is small and show that the half-advanced minus half-retarded field surprisingly provides the correct radiation reaction force, in a time-averaged sense, and determines the orbit of the particle.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Binary black hole scattering with generic spins

    gr-qc 2026-06 unverdicted novelty 8.0

    First NR-PM comparison for generic-spin black hole scattering reveals strong-field precessional turning-point structure with polar-angle sign change absent from perturbative PM.

  2. Quadrupolar tidal effects destroy the integrability of black hole geodesics: analytic proof and numerical evidence of chaos

    gr-qc 2026-07 accept novelty 7.0

    Leading-order tidally induced quadrupoles destroy Kerr geodesic integrability: no polynomial deformation of the Carter constant is conserved for generic Love couplings and Kerr spin.

  3. Constitutive birefringence and critical curves in the rotating Garc\'ia--D\'iaz black hole

    gr-qc 2026-06 unverdicted novelty 7.0

    In the rotating García-Díaz NLED black hole the Fresnel quartic factorizes into two optical metrics whose critical families project to distinct contours Γ+ and Γ- whose angular separation is generated by the constitut...

  4. Geodesics and shadows of the spindle-deformed Kerr black hole

    gr-qc 2026-07 accept novelty 6.0

    In the spindle-deformed Kerr black hole, null geodesics separate at O(B²) while timelike do not; the deformation shifts the ISCO, can create an OSCO, and enlarges the shadow versus Kerr.

  5. Black Hole Photon Rings Saturate the Quantum Chaos Bound

    hep-th 2026-05 unverdicted novelty 6.0

    Photon rings around black holes saturate the quantum chaos bound via Lyapunov exponents of null geodesics and OTOCs in the near-ring region.

  6. Dynamics of Binary System around a Supermassive Black Hole :Binary Scattering and Eccentric vZLK Oscillations

    gr-qc 2026-05 unverdicted novelty 6.0

    Binaries around supermassive black holes exhibit four periapsis-dependent scattering regimes in unbound orbits and scattering-type eccentric vZLK oscillations in bound orbits within Kerr spacetime.

  7. Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework

    gr-qc 2026-05 unverdicted novelty 6.0

    A unified confluent HeunC framework with hybrid connection-coefficient computation and adaptive bi-power quadrature yields relative errors of order 10^{-11} and 2-10x speedups over existing packages for total radiativ...

  8. Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework

    gr-qc 2026-05 unverdicted novelty 6.0

    A HeunC framework computes gravitational-wave fluxes from generic Kerr orbits with 10^{-11} relative errors and speedups of 3-60x over prior packages by eliminating auxiliary parameters via analytic continuation and a...

  9. Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework

    gr-qc 2026-05 unverdicted novelty 6.0

    A unified confluent HeunC framework computes gravitational-wave fluxes from generic Kerr orbits with 10^{-11} relative errors and speedups of 3-60x over existing packages for low- and high-order modes.

  10. Dynamics of Binary System around a Supermassive Black Hole :Binary Scattering and Eccentric vZLK Oscillations

    gr-qc 2026-05 unverdicted novelty 5.0

    Binaries around SMBHs exhibit four scattering regimes in unbound orbits and scattering-type eccentric vZLK oscillations in bound orbits, yielding a unified periapsis-driven tidal dynamics picture in galactic nuclei.

  11. Field Theoretic Aspects of Gravity From Direct Action to Quantum Fields

    gr-qc 2026-07 conditional novelty 3.0

    A conceptual history from action-at-a-distance gravity to quantum fields argues FRG and LQG are complementary frameworks whose parameters can be identified via asymptotic-safety fixed points and black-hole entropy.