English

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

General Relativity and Quantum Cosmology 2016-06-29 v1

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.

Keywords

Cite

@article{arxiv.1602.08282,
  title  = {High post-Newtonian order gravitational self-force analytical results for eccentric orbits around a Kerr black hole},
  author = {Donato Bini and Thibault Damour and Andrea Geralico},
  journal= {arXiv preprint arXiv:1602.08282},
  year   = {2016}
}

Comments

11 pages, revtex macros