Post-Newtonian approximation of the Vlasov-Nordström system
Sebastian Bauer
Abstract
We study the Nordström-Vlasov system which describes the dynamics of a self-gravitating ensemble of collisionless particles in the framework of the Nordström scalar theory of gravitation. If the speed of light c is considered as a parameter, it is known that in the Newtonian limit c∞ the Vlasov-Poisson system is obtained. In this paper we determine a higher approximation and establish a pointwise error estimate of order O(c-4). Such an approximation is usually called a 1.5 post-Newtonian approximation.
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