KAM and geodesic dynamics of blackholes
General Relativity and Quantum Cosmology
2020-12-08 v1 Dynamical Systems
Abstract
In this paper we apply KAM theory and the Aubry-Mather theory for twist maps to the study of bound geodesic dynamics of a perturbed blackhole background. The general theories apply mainly to two observable phenomena: the photon shell (unstable bound spherical orbits) and the quasi-periodic oscillations. We discover there is a gap structure in the photon shell that can be used to reveal information of the perturbation.
Keywords
Cite
@article{arxiv.2012.03046,
title = {KAM and geodesic dynamics of blackholes},
author = {Jinxin Xue},
journal= {arXiv preprint arXiv:2012.03046},
year = {2020}
}