Gravitational collapse and the formation of black holes for the spherically symmetric Einstein-Vlasov system.
Artikel i vetenskaplig tidskrift, 2010

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.


Håkan Andreasson

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Markus Kunze

Gerhard Rein

Quarterly of Applied Mathematics

1552-4485 (ISSN)

Vol. 68 17-42


Matematisk analys