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

Blue P., Soffer A.

Odd-type spin-2 perturbations of Einstein’s equation can be reduced to the scalarRegge-Wheeler equation. We show that the weighted norms of solutions are in L2of time and space. This result uses commutator methods and applies uniformly toall relevant spherical harmonics.