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The non-relativistic limit of the Nordström-Vlasov. (English) Zbl 1086.83016

The authors of the paper examine the behaviour of relativistic plasma in the gravitational field, using the model of the gravitational field described by the relativistic Scalar Theory of Gravitation by Nordström. They generalize some recent results obtained in the nonrelativistic limit, using the Vlasov-Poisson equation, in which the gravitational field is the Newtonian one. It could be correct to use for two sets of equations (non-relativistic and relativistic, respectively) symmetric names, e.g.: Vlasov-Poisson equations, and Vlasov-Calogero equations, or to complete the two systems of equations names to 3 names, e.g.: Vlasov-Poisson-Newton equations and Vlasov-Calogero-Nordström equations. The Vlasov-Calogero-Einstein system of equations is of interest in view of its greater importance. There is no doubt, that the Einstein theory of gravitation is the best theory for gravitation.

MSC:

83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
83C80 Analogues of general relativity in lower dimensions
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