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Black Hole Formatio...
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Andreasson, Håkan,1966Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
(author)
Black Hole Formation from a Complete Regular Past for Collisionless Matter
- Article/chapterEnglish2012
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2012-03-17
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Springer Science and Business Media LLC,2012
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LIBRIS-ID:oai:gup.ub.gu.se/165384
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https://gup.ub.gu.se/publication/165384URI
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https://doi.org/10.1007/s00023-012-0164-1DOI
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https://research.chalmers.se/publication/165384URI
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Subject category:art swepub-publicationtype
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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 .
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Göteborgs universitetInstitutionen för matematiska vetenskaper, matematik
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In:Annales Henri Poincaré: Springer Science and Business Media LLC13:7, s. 1511-15361424-06371424-0661
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