Global solutions to the Einstein equations with cosmological constant on the Friedman-Robertson-Walker space times with plane, hyperbolic, and spherical symmetries

Global existence of solutions is proved, in the case of a positive cosmological constant and positive initial velocity of the cosmological expansion factor on the three types of Friedman- Robertson-Walker space-time, and asymptotic behavior is investigated.

Keywords

Global existence, differential system, constraints, asymptotic behavior

2010 Mathematics Subject Classification

83Cxx

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Published 1 January 2008