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arXiv · 2012.03046

KAM and geodesic dynamics of blackholes

Jinxin Xue
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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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Jinxin Xue. 2020-12-05. KAM and geodesic dynamics of blackholes. https://arxiv.org/abs/2012.03046

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