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Formation of trapped surfaces for the spherically symmetric Einstein-Vlasov system

Håkan Andréasson (Institutionen för matematiska vetenskaper, matematik) ; G. Rein
Journal of Hyperbolic Differential Equations (0219-8916). Vol. 7 (2010), 4, p. 707-731.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Einstein-Vlasov system, trapped surfaces, weak cosmic censorship, gravitational collapse, cosmic censorship, static solutions, newtonian, limit, poisson system, black-holes, singularities, regularity, matter, field



Denna post skapades 2011-01-17. Senast ändrad 2012-02-17.
CPL Pubid: 134220

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematisk analys
Tillämpad matematik
Astronomi, astrofysik och kosmologi

Chalmers infrastruktur