Orbital evolution of a test particle around a black hole: Indirect determination of the self force in the post Newtonian approximation

Details Orbital evolution of a test particle around a black hole: Indirect determination of the self force in the post Newtonian approximation Orbital evolution of a test particle around a black hole: Indirect determination of the self force in the post Newtonian approximation

2006-02-08

arxiv.org/abs/gr-qc/0602032v2

Class.Quant.Grav. 23 (2006) 4281-4288

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 2 figures

Scientific paper

10.1088/0264-9381/23/12/021

Comparing the corrections to Kepler's law with orbital evolution under a self force, we extract the finite, already regularized part of the latter in a specific gauge. We apply this method to a quasi-circular orbit around a Schwarzschild black hole of an extreme mass ratio binary, and determine the first- and second-order conservative gravitational self force in a post Newtonian expansion. We use these results in the construction of the gravitational waveform, and revisit the question of the relative contribution of the self force and spin-orbit coupling.

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