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The formation of bl...
The formation of black holes in spherically symmetric gravitational collapse
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- Andreasson, Håkan, 1966 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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- Kunze, M (författare)
- Universität Duisburg-Essen,University of Duisburg-Essen
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- Rein, G (författare)
- Universität Bayreuth,University of Bayreuth
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(creator_code:org_t)
- 2010-09-14
- 2011
- Engelska.
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Ingår i: MATHEMATISCHE ANNALEN. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 350:3, s. 683-705
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Abstract
Ämnesord
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- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
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- art (ämneskategori)
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