Bay Area Microlocal Analysis Seminar: Trapping in perturbations of Kerr spacetimes

Seminar | October 10 | 2:30-3:30 p.m. | 383N Stanford

  Building 380, Stanford, CA 94305

 Peter Hintz, MIT

 Department of Mathematics

We study the trapped set of spacetimes whose metric decays to a stationary Kerr metric at an inverse polynomial rate. In the first part of the talk, I will focus on the dynamical aspects of this problem and show that the trapped set is a smooth submanifold which converges to that of the stationary metric at the same rate. In the second part, I will explain how to use this to prove microlocal estimates at the trapped set for solutions of wave equations on such spacetimes.