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キーワード:
Mathematics, Analysis of PDEs, math.AP,General Relativity and Quantum Cosmology, gr-qc
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.
