{ "id": "1509.09154", "version": "v1", "published": "2015-09-30T12:36:41.000Z", "updated": "2015-09-30T12:36:41.000Z", "title": "Gravitational collapse and the Vlasov-Poisson system", "authors": [ "Gerhard Rein", "Lukas Taegert" ], "comment": "in Ann. Henri Poincare, Online First, 2015", "doi": "10.1007/s00023-015-0424-y", "categories": [ "math-ph", "math.AP", "math.MP" ], "abstract": "A self-gravitating homogeneous ball of a fluid with pressure zero where the fluid particles are initially at rest collapses to a point in finite time. We prove that this gravitational collapse can be approximated arbitrarily closely by suitable solutions of the Vlasov-Poisson system which are known to exist globally in time.", "revisions": [ { "version": "v1", "updated": "2015-09-30T12:36:41.000Z" } ], "analyses": { "subjects": [ "35B44", "35Q83", "85A05" ], "keywords": [ "vlasov-poisson system", "gravitational collapse", "finite time", "rest collapses", "fluid particles" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150909154R" } } }