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Black hole formation from a complete past for the einstein–vlasov system

Conference paper
Authors Håkan Andreasson
Published in International conference on Relativity and Gravitation, 2012, Prague, Czech Republic, 25-29 June 2012
Volume 157
Pages 11-18
ISBN 978-3-319-06760-5
ISSN 0930-8989
Publication year 2014
Published at Department of Mathematical Sciences, Mathematics
Pages 11-18
Language en
Links dx.doi.org/10.1007/978-3-319-06761-...
Subject categories Computational Mathematics

Abstract

Anatural question in general relativity is to find initial data for the Einstein equations whose past evolution is regular and whose future evolution contains a black hole. In [1] initial data of this kind is constructed for the spherically symmetric Einstein–Vlasov system. One consequence of the result is that there exists a class of initial data for which the ratio of the Hawking mass (Formula presented) (r) and the area radius r is arbitrarily small everywhere, such that a black hole forms in the evolution. This result is analogous to the result [2] for a scalar field. Another consequence is that there exist black hole initial data such that the solutions exist for all Schwarzschild time t ∈ (−∞,∞). In the present article we review the results in [1].

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