NDNS+ WORKSHOP June 22-23, 2020 ONLINE MEETING
Date:
22-23 June 2020
Speaker: dr. Annegret Burtscher - Radbout University
Title: From initial data to black holes
Abstract:
The general theory of relativity describes the effect of gravitation in terms of the curvature of Lorentzian manifolds via the Einstein equations, a system of nonlinear hyperbolic differential equations. One of the biggest surprises is that the theory predicts its own breakdown through the occurrence of singularities (black holes, big bang, etc.). While this phenomenon is well understood geometrically since the 1960s by Penrose and Hawking, only in recent years an analytical understanding of gravitational collapse emerged through the monumental work of Christodoulou and others on the dynamical formation of trapped surfaces. In this talk we review some of the ideas and results obtained for perfect fluids and other matter models.