The nonlinear stability of the Schwarzschild family of black holes

Seminar/Forum

The Schwarzschild family, discovered in 1915, is the most famous family of solutions of the vacuum Einstein equations of general relativity. Each member describes a static black hole. The most basic question one can ask about the family is whether the black hole exterior is nonlinearly stable as a solution of the vacuum Einstein equations. I will present a theorem on the full finite codimension asymptotic stability of the Schwarzschild family. The proof employs a double null gauge, is expressed entirely in physical space, and utilises the analysis of Dafermos--Holzegel--Rodnianski on the linear stability of Schwarzschild. This is joint work with M. Dafermos, G. Holzegel and I. Rodnianski.

Presenter

  • Dr Martin Taylor
    Dr Martin Taylor, Princeton University