Analysis Seminar

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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.

Synopsis:

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.