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BIMSA General Relativity Seminar
BIMSA General Relativity Seminar
DYNAMICAL FORMATION OF BLACK HOLES DUE TO BOUNDARY EFFECT IN VACUUM
DYNAMICAL FORMATION OF BLACK HOLES DUE TO BOUNDARY EFFECT IN VACUUM
Organizers
Speaker
Time
Wednesday, March 25, 2026 4:30 PM - 5:30 PM
Venue
A3-3-201
Online
Zoom 442 374 5045
(BIMSA)
Abstract
We prove that a marginally outer trapped surface (MOTS) can form as a result of Einsteinian evolution in pure vacuum spacetime starting from regular initial data free of MOTSs due to pure boundary effects. We adapt a Cauchy-double-null framework and use the boundary generalized mean curvature condition for the existence of an interior MOTS imposed by the author S-T Yau. In particular, we prove that the condition of Yau can be met dynamically starting from a configuration that does not verify the same through a focusing mechanism. In fact, a very mild incoming radiation can cause a large enough generalized boundary mean curvature of an isotropically large domain so that a MOTS exists in the interior. This is fundamentally different from black hole formation by standard “gravitational collapse" and can be interpreted as the dynamical realization of a long-suspected idea in GR: MOTS can form because of “global geometry", not just quasi-local concentration of gravity/matter. This is a joint work with Prof. S-T Yau.
Speaker Intro
Puskar Mondal is currently an assistant professor in BIMSA. He's been a fellow and lecturer at Harvard CMSA of Mathematics (his mentor is Prof. Shing-Tung Yau), and was a Ph.D. student at Yale University, under the supervision of Prof. Vincent Moncrief.