Communications in Mathematical Sciences

Volume 6 (2008)

Number 3

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

Pages: 595 – 610

DOI: http://dx.doi.org/10.4310/CMS.2008.v6.n3.a4

Authors

Gilbert Chendjou

Norbert Noutchegueme

Abstract

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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