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

Autoren: Lars Andersson, Pieter Blue (2015)

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.

Annals of Mathematics
Princeton University
182, no. 3

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