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

Lior M. Burko
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Abstract

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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Lior M. Burko. 2006-04-06. Orbital evolution of a test particle around a black hole: Indirect determination of the self force in the post Newtonian approximation. https://doi.org/10.1088/0264-9381%2F23%2F12%2F021

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