1305.4603 (Semyon Dyatlov et al.)

Trapping of waves and null geodesics for rotating black holes    [PDF]

Semyon Dyatlov, Maciej Zworski

We present dynamical properties of linear waves and null geodesics valid for stationary perturbations of Kerr and Kerr-de Sitter black holes. For the geodesic 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.

View original: http://arxiv.org/abs/1305.4603