Asymptotic completeness for superradiant Klein-Gordon equations and applications to the De Sitter Kerr metric
arXiv:1405.5304
Abstract
We show asymptotic completeness for a class of superradiant Klein-Gordon equations. Our results are applied to the Klein-Gordon equation on the De Sitter Kerr metric with small angular momentum of the black hole. For this equation we obtain asymptotic completeness for fixed angular momentum of the field.
References in corpus (5)
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- Creation of fermions by rotating charged black-holes
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Cited by in corpus (5)
- A scattering theory for the wave equation on Kerr black hole exteriors
- Kerr-de Sitter spacetime, Penrose process and the generalized area theorem
- Feynman propagators and Hadamard states from scattering data for the Klein-Gordon equation on asymptotically Minkowski spacetimes
- Scattering theory for the Dirac equation on the Schwarzschild-Anti-de Sitter spacetime
- On the Scattering of Waves inside Charged Spherically Symmetric Black Holes