Quasi-Normal Modes and Exponential Energy Decay for the Kerr-de Sitter Black Hole |
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Authors: | Semyon Dyatlov |
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Institution: | 1.Department of Mathematics, Evans Hall,University of California,Berkeley,USA |
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Abstract: | We provide a rigorous definition of quasi-normal modes for a rotating black hole. They are given by the poles of a certain
meromorphic family of operators and agree with the heuristic definition in the physics literature. If the black hole rotates
slowly enough, we show that these poles form a discrete subset of
\mathbb C{\mathbb C} . As an application we prove that the local energy of linear waves in that background decays exponentially once orthogonality
to the zero resonance is imposed. |
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Keywords: | |
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