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On the Breakdown of Einstein’s Gravity
October 13, 2023 @ 12:00 pm - 1:00 pm
Speaker: Puskar Mondal (CMSA)
Title: On the Breakdown of Einstein’s Gravity
Abstract: It is important to understand under which conditions, the solutions of non-linear hyperbolic PDEs break down in finite time. In the context of Einstein’s gravity, this is very closely tied to naked singularity formation and Penrose’s weak cosmic censorship conjecture. In this talk, I will give sharp estimates on the relevant geometric entities that allow one to continue the solutions of Einstein’s equations indefinitely in the future in a ‘time’ direction without forming a naked singularity.