Global classical solutions to the 3D Nordström-Vlasov system

Abstract

The Nordström-Vlasov system describes the 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.

11 Pages, no figures

References in corpus (5)

• The Einstein-Vlasov system/Kinetic theory
• Global weak solutions to the Nordström-Vlasov system
• The non-relativistic limit of the Nordström-Vlasov system
• On classical solutions of the Nordström-Vlasov system
• Global existence of solutions of the Nordström-Vlasov system in two space dimensions

Cited by in corpus (9)

• The Einstein-Vlasov System/Kinetic Theory
• A vector field method for relativistic transport equations with applications
• Classical solvability of the relativistic Vlasov-Maxwell system with bounded spatial density
• Sharp asymptotics for small data solutions of the Vlasov-Nordström system in three dimensions
• Multipole radiation in a collisonless gas coupled to electromagnetism or scalar gravitation
• Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity
• The Non-relativistic Limit of the Euler Nordström System with Cosmological Constant
• Virial inequalities for steady states in relativistic galactic dynamics
• Well-Posedness for the Euler-Nordstrom System with Cosmological Constant