KAM and Geodesic Dynamics of Blackholes

Annals of Applied Mathematics
Vol. 37 No. 3 (2021), pp. 291-336
DOI: 10.4208/aam.OA-2021-0002
Preview Buy Article Full text requires purchase or subscription
Author(s)
Department of Mathematics and Yau Mathematical Sciences Center, Tsinghua University, Beijing, China
Received
January 13, 2021
Accepted
June 16, 2021
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.

Keywords
KAM photon shell blackholes Kerr.
More from this issue
Transverse Instability of the CH-KP-I Equation
Chen et al.
pp. 337-362
On a Rayleigh-Faber-Krahn Inequality for the Regional Fractional Laplacian
Jin et al.
pp. 363-393
On Fractional Smoothness of Modulus of Functions
Li
pp. 394-404
Stay updated
Share
How to Cite
RIS BibTeX