On the relativistic Vlasov-Poisson system

Details On the relativistic Vlasov-Poisson system On the relativistic Vlasov-Poisson system

2007-08-13

arxiv.org/abs/0708.1760v4

Indiana Univ. Math. J. vol. 57, pp. 3177-3207 (2009)

Physics

Mathematical Physics

Preprint of published version. Several typos in the previous version have been corrected

Scientific paper

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.

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