On Singularity Formation in General Relativity
Speaker: Xinliang An, University of Toronto
Abstract: 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: i) Can ÿÿblack holesÿÿ form dynamically in vacuum? ii) To form a ÿÿblack holeÿÿ, what is the least size of initial data? iii) Can we find the boundary of a ÿÿblack holeÿÿ region? Can we show that a ÿÿblack hole regionÿÿ is emerging from a point? iv) For Einstein vacuum equations, could singularities other than black hole type form in gravitational collapse?
Room Reservation Information
Room Number: 320 Whitmore
Time: 2:30pm - 3:20pm