Title
Dynamical extensions for shell-crossing singularities in the Einstein-dust system
Abstract
In this talk, I will discuss the structure of singularities in the dynamics of self-gravitating pressureless fluids in General Relativity. Such models have provided well-known examples of gravitational collapse, such as the Oppenheimer-Snyder study of black hole formation.
After posing initial data, one way for the classical development to terminate is in a so-called shell-crossing singularity: in which the fluid trajectories, without the counteracting influence of pressure, reach a focal point.
We will discuss the nature of these singularities, and in particular the question of extendability, reviewing heuristic results and rigorous constructions (in preparation!) of dynamical extensions beyond the singularity.
Please note that the seminar will take place in person in room 144 of Huxley Building.