Year: 2021
Author: Jinxin Xue
Annals of Applied Mathematics, Vol. 37 (2021), Iss. 3 : pp. 291–336
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 (QPO). We prove that there is a gap structure in the photon shell that can be used to reveal information of the perturbation.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aam.OA-2021-0002
Annals of Applied Mathematics, Vol. 37 (2021), Iss. 3 : pp. 291–336
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 46
Keywords: KAM photon shell blackholes Kerr.