CPL - Chalmers Publication Library
| Utbildning | Forskning | Styrkeområden | Om Chalmers | In English In English Ej inloggad.

The asymptotic behaviour in Schwarzschild time of Vlasov matter in spherically symmetric gravitational collapse

Håkan Andréasson (Institutionen för matematiska vetenskaper, matematik) ; Gerhard Rein
Mathematical proceedings of the Cambridge Philosophical Society (0305-0041). Vol. 149 (2010), 1, p. 173-188.
[Artikel, refereegranskad vetenskaplig]

Given a static Schwarzschild spacetime of ADM mass M, it is well known that no ingoing causal geodesic starting in the outer domain r > 2M will cross the event horizon r = 2M in finite Schwarzschild time. We show that in gravitational collapse of Vlasov matter this behaviour can be very different. We construct initial data for which a black hole forms and all matter crosses the event horizon as Schwarzschild time goes to infinity, and show that this is a necessary condition for geodesic completeness of the event horizon. In addition to a careful analysis of the asymptotic behaviour of the matter characteristics our proof requires a new argument for global existence of solutions to the spherically symmetric Einstein–Vlasov system in an outer domain, since our initial data have non-compact support in the radial momentum variable and previous methods break down.

Denna post skapades 2010-01-20. Senast ändrad 2016-07-14.
CPL Pubid: 109330


Läs direkt!

Lokal fulltext (fritt tillgänglig)

Länk till annan sajt (kan kräva inloggning)

Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Matematisk analys
Tillämpad matematik
Astronomi, astrofysik och kosmologi

Chalmers infrastruktur