New gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole: gyroscope precession
General Relativity and Quantum Cosmology
2019-11-13 v1
Abstract
We analytically compute the gravitational self-force correction to the gyroscope precession along slightly eccentric equatorial orbits in the Kerr spacetime, generalizing previous results for the Schwarzschild spacetime. Our results are accurate through the 9.5 post-Newtonian order and to second order in both eccentricity and rotation parameter. We also provide a post-Newtonian check of our results based on the currently known Hamiltonian for spinning binaries.
Keywords
Cite
@article{arxiv.1907.11082,
title = {New gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole: gyroscope precession},
author = {Donato Bini and Andrea Geralico},
journal= {arXiv preprint arXiv:1907.11082},
year = {2019}
}
Comments
19 pages, revtex macros