Geodesic
Hidden symmetries and decay for the wave equation on the Kerr spacetime
Lars Andersson1 ; Pieter Blue2
1 Albert Einstein Institute, Max Planck Institute for Gravitational Physics, Potsdam, Germany Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden
2 The School of Mathematics and the Maxwell Institute, University of Edinburgh, Edinburgh, Scotland, UK
Annals of mathematics, Tome 182 (2015) no. 3, pp. 787-853.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2015.182.3.1

Lars Andersson 1 ; Pieter Blue 2

1 Albert Einstein Institute, Max Planck Institute for Gravitational Physics, Potsdam, Germany Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden
2 The School of Mathematics and the Maxwell Institute, University of Edinburgh, Edinburgh, Scotland, UK 
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Lars Andersson; Pieter Blue. Hidden symmetries and decay for the wave equation on the Kerr spacetime. Annals of mathematics, Tome 182 (2015) no. 3, pp. 787-853. doi : 10.4007/annals.2015.182.3.1. http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.182.3.1/

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