The surface-symmetric Einstein-Vlasov system with cosmological constant

Details The surface-symmetric Einstein-Vlasov system with cosmological constant The surface-symmetric Einstein-Vlasov system with cosmological constant

2003-04-25

arxiv.org/abs/gr-qc/0304098v2

Math.Proc.Cambridge Phil.Soc. 138 (2005) 541-553

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, proofs shortened, new global results

Scientific paper

The results on local existence and continuation criteria obtained by G. Rein in [4] are extended to the case with a non-zero cosmological constant. It is also shown that for the spherically symmetric case and a positive cosmological constant there is a large class of initial data with global existence and inflationary asymptotics in the future as in the case of plane or hyperbolic symmetry treated in [7]. Furthermore we analyze the behaviour of the energy-momentum tensor at late times.

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