On the Rigidity of Black Holes

Analysis Seminar
Topic:On the Rigidity of Black Holes
Speaker:Sergiu Klainerman
Affiliation:Princeton University
Date:Tuesday, October 25
Time/Room:2:30pm - 3:30pm/S-101
Video Link:https://video.ias.edu/analysis/blackholes

The classical result on the uniqueness of black holes in GR, due to Hawking, which asserts that regular, stationary solutions of the Einstein vacuum equations must be isometric to an admissible black hole Kerr solution, has at its core a a highly unrealistic analyticity assumption for the metric. The goal of the talk is to survey recent results, obtained in collaboration with Alexakis and Ionescu, on the general rigidity problem, without analyticity.