2003/09/30 by Simone Calogero, Hayoung Lee
Physics and Astronomy · Mathematics · #math-ph #gr-qc #math.AP #math.MP
published as Comm. Math. Sci. 2 (2004) 19-34 · 19 pages
arxiv created 2004/01/14 · arxiv updated 2009/12/01
The Nordström-Vlasov system provides an interesting relativistic generalization of the Vlasov-Poisson system in the gravitational case, even though there is no direct physical application. The study of this model will probably lead to a better mathematical understanding of the class of non-linear systems consisting of hyperbolic and transport equations. In this paper it is shown that solutions of the Nordström-Vlasov system converge to solutions of the Vlasov-Poisson system in a pointwise sense as the speed of light tends to infinity, providing a further and rigorous justification of this model as a genuine relativistic generalization of the Vlasov-Poisson system.