25–27 Jun 2024
ECAP Laboratory Building
Europe/Berlin timezone

Shell-crossings and shock formation during gravitational collapse

27 Jun 2024, 16:30
40m
ECAP Laboratory Building

ECAP Laboratory Building

Nikolaus-Fiebiger-Straße 2 91058 Erlangen
Talk Session 6

Speaker

Edward Wilson-Ewing (Zoom) (University of New Brunswick)

Description

Effective models of gravitational collapse in loop quantum gravity for the Lemaître-Tolman-Bondi spacetime predict that collapsing matter reaches a maximum finite density, bounces, and then expands outward. I will explain that in the marginally bound case, shell-crossing singularities commonly occur for inhomogeneous initial profiles of the dust energy density; this is the case in particular for all profiles that are continuous and of compact support, including configurations arbitrarily close to the Oppenheimer-Snyder model. When a shell-crossing singularity occurs, it is necessary to seek weak solutions to the dynamics; these typically contain shock waves.

Primary author

Edward Wilson-Ewing (Zoom) (University of New Brunswick)

Presentation materials