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Asymptotic behaviour of the Einstein-Vlasov system with a positive cosmological constant

General Relativity and Quantum Cosmology 2009-11-10 v1 Mathematical Physics Analysis of PDEs math.MP

Abstract

We study locally spatially homogeneous solutions of the Einstein-Vlasov system with a positive cosmological constant. First the global existence of solutions of this system and the casual geodesic completeness are shown. Then the asymptotic behaviour of solutions in the future time is investigated in various aspects.

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Cite

@article{arxiv.gr-qc/0308035,
  title  = {Asymptotic behaviour of the Einstein-Vlasov system with a positive cosmological constant},
  author = {Hayoung Lee},
  journal= {arXiv preprint arXiv:gr-qc/0308035},
  year   = {2009}
}

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17 pages