On global existence for the spherically symmetric Einstein-Vlasov system in Schwarzschild coordinates
arXiv:gr-qc/0505114 · doi:10.1512/iumj.2007.56.2892
Abstract
The spherically symmetric Einstein-Vlasov system in Schwarzschild coordinates (i.e. polar slicing and areal radial coordinate) is considered. An improved continuation criterion for global existence of classical solutions is given. Two other types of criteria which prevent finite time blow-up are also given.
32 pages, latex
References in corpus (2)
Cited by in corpus (4)
- The Einstein-Vlasov System/Kinetic Theory
- A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein-Vlasov system
- The formation of black holes in spherically symmetric gravitational collapse
- Regularity results for the spherically symmetric Einstein-Vlasov system