Black hole formation from a complete past for the einstein–vlasov system
Paper in proceeding, 2014

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].


Håkan Andreasson

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

International conference on Relativity and Gravitation, 2012, Prague, Czech Republic, 25-29 June 2012

1867-4941 (eISSN)

Vol. 157 11-18
978-3-319-06760-5 (ISBN)

Subject Categories

Computational Mathematics





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