@Article{AAM-37-3,
author = {Xue, Jinxin},
title = {KAM and Geodesic Dynamics of Blackholes},
journal = {Annals of Applied Mathematics},
year = {2021},
volume = {37},
number = {3},
pages = {291--336},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {},
doi = {https://doi.org/10.4208/aam.OA-2021-0002},
url = {https://global-sci.com/article/72646/kam-and-geodesic-dynamics-of-blackholes}
}