On global existence for the spherically symmetric Einstein-Vlasov system in Schwarzschild coordinates

Details On global existence for the spherically symmetric Einstein-Vlasov system in Schwarzschild coordinates On global existence for the spherically symmetric Einstein-Vlasov system in Schwarzschild coordinates

2005-05-23

arxiv.org/abs/gr-qc/0505114v1

Indiana Univ. Math. J.56:523-552,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 pages, latex

Scientific paper

10.1512/iumj.2007.56.2892

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.

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