Paper in proceedings, 2013

A natural 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 (forumal presented) and the area radius r is arbitrarily small everywhere, such that a black hole forms in the evolution. 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]. © 2014 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.

Formation of black holes

The Einstein-Vlasov system

Chalmers, Mathematical Sciences, Mathematics

Chalmers, Mathematical Sciences

University of Gothenburg

365-372

Mathematics

Building Futures (2010-2018)

Basic sciences

10.1142/9789814449243_0027

978-981444924-3