The non-relativistic limit of the Nordstr\"om-Vlasov system
Calogero, Simone ; Lee, Hayoung
arXiv, 0309030 / Harvested from arXiv
Text on arXiv
The Nordstr\"om-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 Nordstr\"om-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 \textit{genuine} relativistic generalization of the Vlasov-Poisson system.
Publié le : 2003-09-12
Classification:  Mathematical Physics,  General Relativity and Quantum Cosmology,  Mathematics - Analysis of PDEs 
@article{0309030,
     author = {Calogero, Simone and Lee, Hayoung},
     title = {The non-relativistic limit of the Nordstr\"om-Vlasov system},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309030}
}

Calogero, Simone; Lee, Hayoung. The non-relativistic limit of the Nordstr\"om-Vlasov system. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309030/