Gustav Holzegel (Imperial)

Existence of dynamical black holes

Abstract: After an introduction to the Black Hole Stability Problem, I will present a construction of a large class of dynamical vacuum spacetimes which asymptote in time to a fixed Schwarzschild-, or more generally, Kerr-spacetime. The solutions are obtained in the context of a scattering problem with data prescribed on the event horizon and at null-infinity. This is joint work with M. Dafermos and I. Rodnianski.