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arXiv · 1602.08282

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

Donato Bini·Thibault Damour·Andrea Geralico
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Abstract

We present the first analytic computation of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in {\it eccentric} orbit around a {\it spinning} black hole. Our results give the redshift contributions that mix eccentricity and spin effects, through second order in eccentricity, second order in spin parameter, and the eight-and-a-half post-Newtonian order.

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Donato Bini, Thibault Damour, Andrea Geralico. 2016-02-26. High post-Newtonian order gravitational self-force analytical results for eccentric orbits around a Kerr black hole. https://doi.org/10.1103/physrevd.93.124058

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