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Hidden symmetries and decay for the wave equation on the Kerr spacetime
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Journal Article
Hidden symmetries and decay for the wave equation on the Kerr spacetime
2015
Overview
Energy and decay estimates for the wave equation on the exterior region of slowly rotating Kerr spacetimes are proved. The method used is a generalisation of the vector-field method that allows the use of higher-order symmetry operators. In particular, our method makes use of the second-order Carter operator, which is a hidden symmetry in the sense that it does not correspond to a Killing symmetry of the spacetime.
Publisher
Department of Mathematics at Princeton University
Subject
