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Asymptotic behaviour of the Einstein-Vlasov system with a positive cosmological constant. (English) Zbl 1054.83015
Summary: We study locally spatially homogeneous solutions of the Einstein-Vlasov system of all Bianchi types except IX 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 future time is investigated in various aspects.

MSC:
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
53Z05 Applications of differential geometry to physics
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