论文标题

黑孔的kam和地球动力学

KAM and geodesic dynamics of blackholes

论文作者

Xue, Jinxin

论文摘要

在本文中,我们将KAM理论和Aubry-Mather理论用于扭曲图来研究扰动黑洞背景的结合地球动力学。一般理论主要应用于两个可观察的现象:光子壳(不稳定的球形轨道)和准周期性振荡。我们发现光子壳中有一个间隙结构,可用于揭示扰动的信息。

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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