On the relativistic Vlasov-Poisson system
Mathematical Physics
2009-02-06 v4 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.0708.1760,
title = {On the relativistic Vlasov-Poisson system},
author = {Michael K. -H. Kiessling and A. Shadi Tahvildar-Zadeh},
journal= {arXiv preprint arXiv:0708.1760},
year = {2009}
}
Comments
Preprint of published version. Several typos in the previous version have been corrected