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KAM and geodesic dynamics of blackholes

2020/12/05 by Jinxin Xue, Xue, Jinxin
Physics and Astronomy · #Pulsars and Gravitational Waves Research #Astrophysical Phenomena and Observations #Galaxies: Formation, Evolution, Phenomena

paper · pdf · doi:10.48550/arxiv.2012.03046

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.

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