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arXiv · 2012.03047

Arnold diffusion and geodesic dynamics of blackholes

Jinxin Xue
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Abstract

In this paper, we study the chaotic motion of a massive particle moving in a perturbed Schwarzschild or Kerr background. We discover three novel orbits that do not exist in the unperturbed cases. First, we find zoom-whirl orbits moving around the photon shell which simultaneously exhibits Arnold diffusion: large oscillations of particle's angular momentum and energy. Next, we show the existence of oscillating orbits between a bounded region and infinity, analogous to Newtonian three-body problem. Thirdly, we find that in perturbed Kerr, there exists chaotic orbits around the event horizon that escapes the event horizon after approaching it.

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Jinxin Xue. 2020-12-05. Arnold diffusion and geodesic dynamics of blackholes. https://arxiv.org/abs/2012.03047

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