{ "id": "0708.1760", "version": "v4", "published": "2007-08-13T19:33:20.000Z", "updated": "2009-02-06T18:37:39.000Z", "title": "On the relativistic Vlasov-Poisson system", "authors": [ "Michael K. -H. Kiessling", "A. Shadi Tahvildar-Zadeh" ], "comment": "Preprint of published version. Several typos in the previous version have been corrected", "journal": "Indiana Univ. Math. J. vol. 57, pp. 3177-3207 (2009)", "categories": [ "math-ph", "math.AP", "math.MP" ], "abstract": "The Cauchy problem is revisited for the so-called relativistic Vlasov-Poisson system in the attractive case. Global existence and uniqueness of spherical classical solutions is proved under weaker assumptions than previously used. A new class of blowing up solutions is found when these conditions are violated. A new, non-gravitational physical vindication of the model which (unlike the gravitational one) is not restricted to weak fields, is also given.", "revisions": [ { "version": "v4", "updated": "2009-02-06T18:37:39.000Z" } ], "analyses": { "keywords": [ "relativistic vlasov-poisson system", "weak fields", "cauchy problem", "weaker assumptions", "non-gravitational physical vindication" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0708.1760K" } } }