Gravitational self-force corrections to tidal invariants for particles on eccentric orbits in a Schwarzschild spacetime
General Relativity and Quantum Cosmology
2018-09-19 v1
Abstract
We study tidal effects induced by a particle moving along a slightly eccentric equatorial orbits in a Schwarzschild spacetime within the gravitational self-force framework. We compute the first order (conservative) corrections in the mass-ratio to the eigenvalues of the electric-type and magnetic-type tidal tensors up to the second order in eccentricity and through the 9.5 post-Newtonian order. Previous results on circular orbits are thus generalized and recovered in a proper limit.
Keywords
Cite
@article{arxiv.1806.06635,
title = {Gravitational self-force corrections to tidal invariants for particles on eccentric orbits in a Schwarzschild spacetime},
author = {Donato Bini and Andrea Geralico},
journal= {arXiv preprint arXiv:1806.06635},
year = {2018}
}
Comments
17 pages, revtex macros