Analysis Seminar
Friday April 25th, 2025
Time: 11:00 AM - 12:00 PM
Title: The extremal black hole threshold
Speaker: Ryan Unger, Stanford University
Abstract:
Extremal black holes are special solutions of Einstein’s equations with absolute zero temperature in the celebrated thermodynamic analogy of black hole mechanics. In this talk, I will discuss the stability problem for extremal black holes, which turns out to be closely related with the study of the black hole formation threshold. I will present a recent positive resolution of the stability problem in spherical symmetry in the presence of a real scalar field. This is based on joint work with Yannis Angelopoulos (Caltech) and Christoph Kehle (MIT).