Note on equatorial geodesics in circular spacetimes
General Relativity and Quantum Cosmology
2021-03-03 v1
Abstract
General results on equatorial geodesics are exposed in the case of circular spacetimes featuring an equatorial reflection symmetry. The way the geodesic equation equivalently rewrites in terms of an effective potential is explicitly recalled for circular and non-circular equatorial geodesics. This provides a practical tool to discuss their stability. Statements are illustrated in Kerr spacetime.
Cite
@article{arxiv.2103.01816,
title = {Note on equatorial geodesics in circular spacetimes},
author = {Karim Van Aelst},
journal= {arXiv preprint arXiv:2103.01816},
year = {2021}
}
Comments
18 pages, 5 figures, version published in CQG