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Asymptotic behaviour of the Einstein–Vlasov system with a positive cosmological constant

Published online by Cambridge University Press:  07 September 2004

HAYOUNG LEE
HAYOUNG LEE
Affiliation:
Max-Planck-institut für Gravitationsphysik, Am Mühlenberg 1, Golm bei Potsdam, 14476, Germany. e-mail: hayoung@aei.mpg.de
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Abstract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 137 , Issue 2 , September 2004 , pp. 495 - 509
Copyright
2004 Cambridge Philosophical Society

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