Asymptotic completeness for superradiant Klein-Gordon equations and applications to the De Sitter Kerr metric

2014/05/21 by Vladimir Georgescu, Georgescu, Vladimir, Christian Gérard +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/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.

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• Feynman propagators and Hadamard states from scattering data for the Klein-Gordon equation on asymptotically Minkowski spacetimes

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