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

Författare och institution:
Håkan Andréasson (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU); Gerhard Rein (-)
Publicerad i:
Mathematical proceedings of the Cambridge Philosophical Society, 149 ( 1 ) s. 173-188
ISSN:
0305-0041
E-ISSN:
1469-8064
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2010
Språk:
engelska
Fulltextlänk:
Fulltextlänk (lokalt arkiv):
Sammanfattning (abstract):
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.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik ->
Matematisk analys
NATURVETENSKAP ->
Matematik ->
Beräkningsmatematik ->
Tillämpad matematik
NATURVETENSKAP ->
Fysik ->
Astronomi, astrofysik och kosmologi
Postens nummer:
109330
Posten skapad:
2010-01-20 14:31
Posten ändrad:
2016-07-14 13:41

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