Formation of trapped surfaces for the spherically symmetric Einstein-Vlasov system
Artikel i vetenskaplig tidskrift, 2010

We consider the spherically symmetric, asymptotically flat, non-vacuum Einstein equations, using as matter model a collisionless gas as described by the Vlasov equation. We find explicit conditions on the initial data which guarantee the formation of a trapped surface in the evolution which in particular implies that weak cosmic censorship holds for these data. We also analyze the evolution of solutions after a trapped surface has formed and we show that the event horizon is future complete. Furthermore we find that the apparent horizon and the event horizon do not coincide. This behavior is analogous to what is found in certain Vaidya spacetimes. The analysis is carried out in Eddington-Finkelstein coordinates.

static solutions

poisson system

matter

newtonian

field

trapped surfaces

singularities

weak cosmic censorship

limit

Einstein-Vlasov system

gravitational collapse

regularity

cosmic censorship

black-holes

Författare

Håkan Andreasson

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

G. Rein

Universität Bayreuth

Journal of Hyperbolic Differential Equations

0219-8916 (ISSN)

Vol. 7 707-731

Ämneskategorier

Beräkningsmatematik

Astronomi, astrofysik och kosmologi

Matematisk analys

DOI

10.1142/S0219891610002268