TY - JOUR
T1 - KAM and Geodesic Dynamics of Blackholes
AU - Xue , Jinxin
JO - Annals of Applied Mathematics
VL - 3
SP - 291
EP - 336
PY - 2021
DA - 2021/09
SN - 37
DO - http://doi.org/10.4208/aam.OA-2021-0002
UR - https://global-sci.org/intro/article_detail/aam/19849.html
KW - KAM, photon shell, blackholes, Kerr.
AB - <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>