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

Abstract

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.

16 pages

References in corpus (1)

• A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein-Vlasov system

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• A numerical stability analysis for the Einstein-Vlasov system
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• Gravitational collapse and the formation of black holes for the spherically symmetric Einstein-Vlasov system