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On gravitational collapse and cosmic censorship for collisionless matter

Journal article
Authors Håkan Andreasson
Published in International Journal of Geometric Methods in Modern Physics
Volume 11
Issue 2
Pages artikel nr 1460002
ISSN 0219-8878
Publication year 2014
Published at Department of Mathematical Sciences, Mathematics
Pages artikel nr 1460002
Language en
Links dx.doi.org/10.1142/s021988781460002...
Keywords Cosmic censorship, Einstein-Vlasov system
Subject categories Mathematics, Physical Sciences

Abstract

The weak cosmic censorship conjecture is a central open problem in classical general relativity. Under the assumption of spherical symmetry, Christodoulou has investigated the conjecture for two different matter models; a scalar field and dust. He has shown that the conjecture holds true for a scalar field but that it is violated in the case of dust. The outcome of the conjecture is thus sensitive to which model is chosen to describe matter. Neither a scalar field nor dust are realistic matter models. Collisionless matter, or Vlasov matter, is a simple matter model but can be considered to be realistic in the sense that it is used by astrophysicists. The present status on the weak cosmic censorship conjecture for the Einstein-Vlasov system is reviewed here.

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