The nonlinear stability of the Schwarzschild metric without symmetry

Analysis - Mathematical Physics
Topic:The nonlinear stability of the Schwarzschild metric without symmetry
Speaker:Mihalis Dafermos
Affiliation:Princeton University
Date:Friday, December 6
Time/Room:5:00pm - 6:00pm/Simonyi Hall 101
Video Link:https://video.ias.edu/analysis/2019/1206-MihalisDafermos

I will discuss an upcoming result proving the full finite-codimension non-linear asymptotic stability of the Schwarzschild family as solutions to the Einstein vacuum equations in the exterior of the black hole region.  No symmetry is assumed. The work is based on our previous understanding of linear stability of Schwarzschild in double null gauge. Joint work with G. Holzegel, I. Rodnianski and M. Taylor.