04/03/2021, 14:30 — 15:30 — Online
Igor Rodnianski, Princeton University
On naked singularities in Einstein equations
I will describe recent and ongoing work with Y. Shlapentokh-Rothman on a construction of solutions to the Einstein vacuum equations corresponding to a naked singularity forming from a regular past. The talk will focus on a new geometric phenomenon, corresponding to twisting of null geodesics, new type of self-similarity, dynamical approach to the problem, and on the comparisons with the naked singularity solutions constructed by Christodoulou for the spherically symmetric Einstein-scalar field model.
This is part of the Joint Online Mathematical Relativity Colloquium.