KAM and geodesic dynamics of blackholes
Jinxin Xue
TL;DR
This paper applies KAM and Aubry-Mather theories to analyze the geodesic dynamics around perturbed black holes, revealing a gap structure in the photon shell that encodes perturbation information.
Contribution
It introduces a novel application of KAM and Aubry-Mather theories to black hole geodesic dynamics, uncovering a gap structure in the photon shell.
Findings
Identification of a gap structure in the photon shell
Application of KAM theory to black hole geodesics
Potential to infer perturbations from gap structures
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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Taxonomy
TopicsPulsars and Gravitational Waves Research · Astrophysical Phenomena and Observations · Galaxies: Formation, Evolution, Phenomena