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

Andersson, Lars; Blue, Pieter

doi:10.4007/annals.2015.182.3.1

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

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Andersson, Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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引用

Andersson, L., & Blue, P. (2015). Hidden symmetries and decay for the wave equation on the Kerr spacetime. Annals of Mathematics, 182(3), 787-853. doi:10.4007/annals.2015.182.3.1.

引用: https://hdl.handle.net/11858/00-001M-0000-0029-0046-0

要旨

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.