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On future geodesic completeness for the Einstein–Vlasov system with hyperbolic symmetry

Published online by Cambridge University Press:  07 July 2004

GERHARD REIN
Affiliation:
Mathematisches Institut, Universität Bayreuth, 95440 Bayreuth, Germany e-mail: gerhard.rein@uni-bayreuth.de

Abstract

Spacetimes with collisionless matter evolving from data on a compact Cauchy surface with hyperbolic symmetry are shown to be timelike and null geodesically complete in the expanding direction, provided the data satisfy a certain size restriction.

Type
Research Article
Copyright
2004 Cambridge Philosophical Society

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