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Black Hole Formation from a Complete Regular Past for Collisionless Matter

Håkan Andréasson (Institutionen för matematiska vetenskaper, matematik)
Annales Henri Poincaré (1424-0637). Vol. 13 (2012), 7, p. 1511-1536.
[Artikel, refereegranskad vetenskaplig]

Initial data for the spherically symmetric Einstein-Vlasov system is constructed whose past evolution is regular and whose future evolution contains a black hole. This is the first example of initial data with these properties for the Einstein-matter system with a "realistic" matter model. One consequence of the result is that there exists a class of initial data for which the ratio of the Hawking mass mIS= mIS (r) and the area radius r is arbitrarily small everywhere, such that a black hole forms in the evolution. This result is in a sense analogous to the result (Christodoulou Commun Pure Appl Math 44:339-373, 1991) for a scalar field. Another consequence is that there exist black hole initial data such that the solutions exist for all Schwarzschild time .

Nyckelord: einstein-vlasov system, gravitational collapse, steady-states, singularities, existence



Denna post skapades 2012-11-01. Senast ändrad 2016-07-14.
CPL Pubid: 165384

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur