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arXiv · 1405.5304

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

Vladimir Georgescu·Christian Gérard·Dietrich Häfner
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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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Vladimir Georgescu, Christian Gérard, Dietrich Häfner. 2014-05-21. Asymptotic completeness for superradiant Klein-Gordon equations and applications to the De Sitter Kerr metric. https://arxiv.org/abs/1405.5304

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