The stability of Kerr-de Sitter space and global analysis

Professor András Vasy of Stanford University will give the Stanford Institute for Theoretical Physics (SITP) Monday Colloquium.

He will discuss the problem of proving, in joint work with Peter Hintz, the stability of the family of Kerr-de Sitter (KdS) black holes as solutions of Einstein's vacuum equation: spacetimes evolving from initial data close to those of $(M,g)$ stay globally close to $(M,g)$, and are indeed asymptotic to $(M,g)$ or another nearby member of the KdS family. Professor Vasy will discuss the general setup and formulate the result, and then in the second half of the talk focus on general analytic aspects of this problem, involving global analysis, together with the choice of a gauge to break the diffeomorphism invariance of Einstein's equation and the role of constraint damping which has also played a key role in numerical general relativity (and thus LIGO).