The asymptotically self-similar regime for the Einstein vacuum equations
Speaker: Yakov SHLAPENTOKH-ROTHMAN, Princeton University
Location: Warren Weaver Hall 1302
Date: Thursday, September 27, 2018, 11 a.m.
We will dynamically construct singular solutions to the Einstein vacuum equations which are asymptotically self-similar in that successive rescalings around the singularity converge to a self-similar solution. Connections both to Christodoulou’s bounded variation solutions of the spherically symmetric Einstein-scalar field system and to the ambient metric construction of Fefferman and Graham will be elaborated on. This is joint work with Igor Rodnianski.