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arXiv · 1305.4603

Trapping of waves and null geodesics for rotating black holes

Semyon Dyatlov·Maciej Zworski
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Abstract

We present dynamical properties of linear waves and null geodesics valid for Kerr and Kerr-de Sitter black holes and their stationary perturbations. The two are intimately linked by the geometric optics approximation. For the nullgeodesic flow the key property is the r-normal hyperbolicity of the trapped set and for linear waves it is the distribution of quasi-normal modes: the exact quantization conditions do not hold for perturbations but the bounds on decay rates and the statistics of frequencies are still valid.

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Semyon Dyatlov, Maciej Zworski. 2013-10-25. Trapping of waves and null geodesics for rotating black holes. https://doi.org/10.1103/physrevd.88.084037

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