Decay estimates for waves on a black hole metric

University Of Maryland, College Park, College Park MD

Investigators

Abstract

In joint work with Sergiu Klainerman and John Stalker, we study the decay rate, pointwise and uniform, of solutions to a linear wave equation on a Schwarzschild background metric. We have preliminary results for each spherical harmonic. This is the first step towards understanding the non-linear stability of these metrics. Roughly speaking, this corresponds to the propagation and decay of an electromagnetic wave near a black hole. Our work starts with a careful mathematical analysis of ideas known to physicists, and plans to develop new tools.