Journal article, 2012

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 .

einstein-vlasov system

existence

gravitational collapse

steady-states

singularities

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

1424-0637 (ISSN) 1424-0661 (eISSN)

Vol. 13 7 1511-1536Mathematics

10.1007/s00023-012-0164-1