%0 Journal Article
%T Gravitational collapse and the formation of black holes for the spherically symmetric Einstein-Vlasov system
%A Hakan Andreasson
%A Markus Kunze
%A Gerhard Rein
%J Mathematics
%D 2008
%I arXiv
%X We review results on the spherically symmetric, asymptotically flat Einstein-Vlasov system. We focus on a recent result where we found explicit conditions on the initial data which guarantee the formation of a black hole in the evolution. Among these data there are data such that the corresponding solutions exist globally in Schwarzschild coordinates. We put these results into a more general context, and we include arguments which show that the spacetimes we obtain satisfy the weak cosmic censorship conjecture and contain a black hole in the sense of suitable mathematical definitions of these concepts which are available in the literature.
%U http://arxiv.org/abs/0812.1645v1