Gravitational self-force corrections to tidal invariants for spinning particles on circular orbits in a Schwarzschild spacetime
General Relativity and Quantum Cosmology
2018-10-24 v1
Abstract
We compute gravitational self-force corrections to tidal invariants for spinning particles moving along circular orbits in a Schwarzschild spacetime. In particular, we consider the square and the cube of the gravitoelectric quadrupolar tidal tensor and the square of the gravitomagnetic quadrupolar tidal tensor. Our results are accurate to first-order in spin and through the 9.5 post-Newtonian order. We also compute the associated electric-type and magnetic-type eigenvalues.
Keywords
Cite
@article{arxiv.1806.03495,
title = {Gravitational self-force corrections to tidal invariants for spinning particles on circular orbits in a Schwarzschild spacetime},
author = {Donato Bini and Andrea Geralico},
journal= {arXiv preprint arXiv:1806.03495},
year = {2018}
}
Comments
15 pages, 1 figure; revtex macros