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

Abstract

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.

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

References in corpus (3)

• Gauge invariant perturbations of Schwarzschild black holes in horizon-penetrating coordinates
• Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates
• Energy and angular momentum of the weak gravitational waves on the Schwarzschild background -- quasilocal gauge-invariant formulation

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