Global classical solutions to the 3D Nordström-Vlasov system

The Nordström-Vlasov system describes the kinetic evolution of self-gravitating collisionless matter in the framework of a relativistic scalar theory of gravitation. We prove global existence and uniqueness of classical solutions for the corresponding initial value problem in three dimensions when the initial data for the scalar field are smooth and the initial particle density is smooth with compact support.HYKE European Network - Contract nr. HPRN-CT-2002-00282.Research Council of Norway - Project nr. 160192/v30