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arXiv · 0908.2265

Hidden symmetries and decay for the wave equation on the Kerr spacetime

Lars Andersson·Pieter Blue
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Abstract

Energy and decay estimates for the wave equation on the exterior region of slowly rotating Kerr spacetimes are proved. The method used is a generalization of the vector-field method, which 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.

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Lars Andersson, Pieter Blue. 2009-08-16. Hidden symmetries and decay for the wave equation on the Kerr spacetime. https://arxiv.org/abs/0908.2265

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