Global existence for the spherically symmetric Einstein-Vlasov system with outgoing matter

Details Global existence for the spherically symmetric Einstein-Vlasov system with outgoing matter Global existence for the spherically symmetric Einstein-Vlasov system with outgoing matter

2006-11-22

arxiv.org/abs/gr-qc/0611115v1

Commun.Part.Diff.Eq.33:656-668,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages

Scientific paper

10.1080/03605300701454883

We prove a new global existence result for the asymptotically flat, spherically symmetric Einstein-Vlasov system which describes in the framework of general relativity an ensemble of particles which interact by gravity. The data are such that initially all the particles are moving radially outward and that this property can be bootstrapped. The resulting non-vacuum spacetime is future geodesically complete.

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