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Göteborgs universitets publikationer

The formation of black holes in spherically symmetric gravitational collapse

Författare och institution:
Håkan Andréasson (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU); M Kunze (-); G Rein (-)
Publicerad i:
MATHEMATISCHE ANNALEN, 350 ( 3 ) s. 683-705
ISSN:
0025-5831
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2011
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
We consider the spherically symmetric, asymptotically flat Einstein-Vlasov system. We find explicit conditions on the initial data, with ADM mass M, such that the resulting spacetime has the following properties: there is a family of radially outgoing null geodesics where the area radius r along each geodesic is bounded by 2M, the timelike lines r=c [0,2M] are incomplete, and for r > 2M the metric converges asymptotically to the Schwarzschild metric with mass M. The initial data that we construct guarantee the formation of a black hole in the evolution. We give examples of such initial data with the additional property that the solutions exist for all r ≥ 0 and all Schwarzschild time, i. e., we obtain global existence in Schwarzschild coordinates in situations where the initial data are not small. Some of our results are also established for the Einstein equations coupled to a general matter model characterized by conditions on the matter quantities.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
Postens nummer:
162008
Posten skapad:
2012-08-17 10:37
Posten ändrad:
2016-07-14 13:40

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