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

Donato Bini1, Thibault Damour2, and Andrea Geralico1

  • 1Istituto per le Applicazioni del Calcolo “M. Picone”, CNR, I-00185 Rome, Italy
  • 2Institut des Hautes Etudes Scientifiques, 91440 Bures-sur-Yvette, France

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Phys. Rev. D 93, 124058 – Published 23 June, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.124058

Abstract

We present the first analytic computation of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in eccentric equatorial orbit around a 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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Phys. Rev. D 93, 124058– Published 23 June, 2016
  • Received 1 March 2016

© 2016 American Physical Society

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