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Static solutions of the spherically symmetric Vlasov–Einstein system

Published online by Cambridge University Press:  24 October 2008

Gerhard Rein
Gerhard Rein
Affiliation:
Mathematisches Institut der Universität München, Theresienstr. 39, 80333 München, Germany
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Abstract

We consider the Vlasov—Einstein system in a spherically symmetric setting and prove the existence of static solutions which are asymptotically flat and have finite total mass and finite extension of the matter. Among these there are smooth, singularity-free solutions, which have a regular centre and have isotropic or anisotropic pressure, and solutions which have a Schwarzschild-singularity at the centre.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 115 , Issue 3 , May 1994 , pp. 559 - 570
Copyright
Copyright © Cambridge Philosophical Society 1994

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