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Global weak solutions to the Nordström-Vlasov system

Simone Calogero·Gerhard Rein
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Abstract

The Nordström-Vlasov system is a Lorentz invariant model for a self-gravitating collisionless gas. We establish suitable a-priori-bounds on the solutions of this system, which together with energy estimates and the smoothing effect of ``momentum averaging'' yield the existence of global weak solutions to the corresponding initial value problem. In the process we improve the continuation criterion for classical solutions which was derived recently. The weak solutions are shown to preserve mass.

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Simone Calogero, Gerhard Rein. 2004-07-09. Global weak solutions to the Nordström-Vlasov system. https://arxiv.org/abs/math-ph/0309046

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