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

Håkan Andréasson (Institutionen för matematiska vetenskaper, matematik)
International conference on Relativity and Gravitation, 2012, Prague, Czech Republic, 25-29 June 2012 (0930-8989). Vol. 157 (2014), p. 11-18.
[Konferensbidrag, refereegranskat]

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].

Denna post skapades 2015-05-12. Senast ändrad 2016-10-07.
CPL Pubid: 217019


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Institutionen för matematiska vetenskaper, matematik (2005-2016)



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