The wave equation on the Schwarzschild metric II: Local decay for the spin 2 Regge Wheeler equation

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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AMS-LaTeX, 8 pages with 1 figure. There is an errata to this paper at gr-qc/0608073

Scientific paper

10.1063/1.1824211

Odd-type spin 2 perturbations of Einstein's equation can be reduced to the
scalar Regge-Wheeler equation. We show that the weighted norms of solutions are
in L^2 of time and space. This result uses commutator methods and applies
uniformly to all relevant spherical harmonics.

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