2009/08/16 by Lars Andersson, Andersson, Lars, Pieter Blue +1
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Advanced Mathematical Physics Problems
paper · pdf · doi:10.48550/arxiv.0908.2265
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.