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Gravitational collapse and the formation of black holes for the spherically symmetric Einstein-Vlasov system.

Håkan Andréasson (Institutionen för matematiska vetenskaper, matematik) ; Markus Kunze ; Gerhard Rein
Quarterly of Applied Mathematics (1552-4485). Vol. 68 (2010), p. 17-42.
[Artikel, refereegranskad vetenskaplig]

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.

Denna post skapades 2011-01-11. Senast ändrad 2012-01-10.
CPL Pubid: 132953


Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Matematisk analys

Chalmers infrastruktur