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The surface-symmetric Einstein-Vlasov system with cosmological constant. (English) Zbl 1119.83013
Summary: The results on the local existence and continuation criteria obtained by G. Rein [Math. Proc. Camb. Philos. Soc. 119, No. 4, 739–762 (1996; Zbl 0851.53058)] 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. Furthermore we analyze the behaviour of the energy-momentum tensor at late times.

83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
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