Sergiu Klainerman (Princeton University)

Title: Nonlinear stability of Kerr black holes for small angular momentum

Abstract: According to a well-known conjecture,  initial data sets,  for the Einstein vacuum equations, sufficiently close to a Kerr solution with parameters $a, m$, $|a|/m <1$, have maximal developments with complete future null infinity and with domain of outer communication (i.e complement of a future event horizon)   which approaches  (globally)  a nearby Kerr solution. I will describe the main ideas in my recent joint work with Jeremie Szeftel concerning the resolution of the conjecture for small angular momentum, i.e. $, $|a|/m $ sufficiently small. The work, ArXiv:2104.11857v1,  also depends on forthcoming work on solutions of nonlinear wave equations in realistic perturbations of Kerr,  with Szeftel and Elena Giorgi,  which I will also describe.

Talk chair: Lydia Bieri 

Video