Oppenheimer-Snyder Type Collapse for the Einstein-Vlasov System

Explore a groundbreaking lecture on gravitational collapse and black hole formation in the context of the Einstein-Vlasov system. Delve into the seminal work of Oppenheimer and Snyder from 1939, which predicted the existence of black holes through the collapse of a homogeneous dust ball. Learn how this classic result can be approximated using solutions to the Einstein-Vlasov system, with a crucial emphasis on Painlevé-Gullstrand coordinates. Examine extensions to inhomogeneous cases and their implications for the weak cosmic censorship conjecture. Gain insights into the relationship between dust solutions and Einstein-Vlasov solutions in the context of naked singularities. This 54-minute talk, part of the Thematic Programme on "Nonlinear Waves and Relativity" at the Erwin Schrödinger International Institute for Mathematics and Physics, presents joint work with Gerhard Rein, offering a deep dive into advanced concepts in gravitational physics and relativity.