English

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

General Relativity and Quantum Cosmology 2011-02-01 v1

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.

Keywords

Cite

@article{arxiv.gr-qc/0611115,
  title  = {Global existence for the spherically symmetric Einstein-Vlasov system with outgoing matter},
  author = {Hakan Andreasson and Markus Kunze and Gerhard Rein},
  journal= {arXiv preprint arXiv:gr-qc/0611115},
  year   = {2011}
}

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16 pages