|Location:||MSRI: Simons Auditorium|
In 2007, A. Ionescu and S. Klainerman introduced a new approach to considering the black hole uniqueness problem which is based on a characterisation (which originated in the works of M. Mars and W.
Simon) of the family of Kerr black holes among stationary vacuum solutions of Einstein's equations. In this talk I'll start by giving a review of the black hole uniqueness problem. Then I will review the algebraic properties of general stationary electro-vacuum solutions, which leads us to a characterisation of the Kerr-Newman family. I will conclude with a discussion of how to turn the characterisation into a smallness measure and how this can be used to demonstrate various "perturbative" uniqueness results for Kerr-Newman black holes.No Notes/Supplements Uploaded No Video Files Uploaded