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Journal Article

The non-relativistic limit of the Nordström-Vlasov system

MPS-Authors

Lee,  Hayoung
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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60903.pdf
(Preprint), 235KB

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Citation

Calogero, S., & Lee, H. (2004). The non-relativistic limit of the Nordström-Vlasov system. Communications in Mathematical Sciences, 2, 19-34.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-50F4-A
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 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.