Trapping of waves and null geodesics for rotating black holes
arXiv:1305.4603 · doi:10.1103/PhysRevD.88.084037
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.
8 pages, 7 figures; minor changes suggested by the referee
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Cited by in corpus (7)
- Quasinormal modes and Strong Cosmic Censorship
- The global non-linear stability of the Kerr-de Sitter family of black holes
- Asymptotics of linear waves and resonances with applications to black holes
- Global analysis of quasilinear wave equations on asymptotically Kerr-de Sitter spaces
- A local energy estimate for wave equations on metrics asymptotically close to Kerr
- Quasinormal modes and dual resonant states on de Sitter space
- Exploring quantum fields in rotating black holes