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Black hole formation from a complete past for the einstein–vlasov system

Författare och institution:
Håkan Andréasson (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU)
Publicerad i:
International conference on Relativity and Gravitation, 2012; Prague; Czech Republic; 25 June 2012 through 29 June 2012, 157 s. 11-18
ISBN:
978-33-19-06760-5
ISSN:
0930-8989
E-ISSN:
1867-4941
Publikationstyp:
Konferensbidrag, refereegranskat
Publiceringsår:
2014
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
© Springer International Publishing Switzerland 2014. Anatural question in general relativity is to find initial data for the Einstein equations whose past evolution is regular and whose future evolution contains a black hole. In [1] initial data of this kind is constructed for the spherically symmetric Einstein–Vlasov system. One consequence of the result is that there exists a class of initial data for which the ratio of the Hawking mass (Formula presented) (r) and the area radius r is arbitrarily small everywhere, such that a black hole forms in the evolution. This result is analogous to the result [2] for a scalar field. Another consequence is that there exist black hole initial data such that the solutions exist for all Schwarzschild time t ∈ (−∞,∞). In the present article we review the results in [1].
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik ->
Beräkningsmatematik
Postens nummer:
217019
Posten skapad:
2015-05-12 14:09
Posten ändrad:
2016-07-14 13:22

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