Shock waves in classical dust collapse
arXiv:2504.14883 · doi:10.1103/b317-86qs
Abstract
During gravitational collapse of dust in spherical symmetry, matter particles may collide forming shell crossing surfaces (SCS) on which the Einstein equations become indeterministic. We show that there is a unique evolution beyond SCS such that a propagating shock wave forms, the metric remains continuous, and the stress-energy tensor dynamically becomes that of a thin shell. We give numerical simulations that exhibit this result.
7 pages, 2 figures
References in corpus (6)
- Time and a physical Hamiltonian for quantum gravity
- Quantum gravity of dust collapse: shock waves from black holes
- Flat slice Hamiltonian formalism for dynamical black holes
- Dynamical extensions for shell-crossing singularities
- Shell-crossings and shock formation during gravitational collapse in effective loop quantum gravity
- Closest Safe Approach to an Accreting Black Hole