Communications in Mathematical Sciences

The non-relativistic limit of the Nordström-Vlasov System

Simone Calogero and Hayoung Lee

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Abstract

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.

Article information

Source
Commun. Math. Sci., Volume 2, Number 1 (2004), 19-34.

Dates
First available in Project Euclid: 21 August 2009

Permanent link to this document
https://projecteuclid.org/euclid.cms/1250880207

Mathematical Reviews number (MathSciNet)
MR2082817

Zentralblatt MATH identifier
1086.83016

Citation

Calogero, Simone; Lee, Hayoung. The non-relativistic limit of the Nordström-Vlasov System. Commun. Math. Sci. 2 (2004), no. 1, 19--34. https://projecteuclid.org/euclid.cms/1250880207


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