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GAP Seminar: On Singularity Formation in General Relativity

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Xinliang An, University of Toronto
When
07 November 2017 from 2:30 PM to 3:30 PM
Where
320 Whitmore Lab
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In the process of gravitational collapse, singularities may form, which are either covered by trapped surfaces (black holes) or visible to faraway observers (naked singularities). In this talk, with three different approaches coming from hyperbolic PDE, quasilinear elliptic PDE and dynamical system, I will present results on four physical questions: (1) Can black holes form dynamically in vacuum? (2) To form a black hole, what is the least size of initial data? (3) Can we find the boundary of a black hole region? Can we show that a black hole region is emerging from a point? (4) For Einstein vacuum equations, could singularities other than black hole type form in gravitational collapse? 

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