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The surface-symmetric Einstein–Vlasov system with cosmological constant

Published online by Cambridge University Press:  26 April 2005

SOPHONIE BLAISE TCHAPNDA N.  and
NORBERT NOUTCHEGUEME
SOPHONIE BLAISE TCHAPNDA N.
Affiliation:
Department of Mathematics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, Cameroon. e-mail: tchapnda@uycdc.uninet.cm; nnoutch@uycdc.uninet.cm
NORBERT NOUTCHEGUEME
Affiliation:
Department of Mathematics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, Cameroon. e-mail: tchapnda@uycdc.uninet.cm; nnoutch@uycdc.uninet.cm
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Abstract

The results on the local existence and continuation criteria obtained by G. Rein 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 138 , Issue 3 , May 2005 , pp. 541 - 553
Copyright
2005 Cambridge Philosophical Society

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