Global classical solutions to the 3D Nordstr\"om-Vlasov system
Simone Calogero
TL;DR
This paper proves the global existence and uniqueness of smooth solutions for the 3D Nordstr"om-Vlasov system, a relativistic scalar gravity model describing self-gravitating collisionless matter.
Contribution
It establishes the first rigorous proof of global classical solutions for this 3D relativistic scalar gravitational system.
Findings
Global existence and uniqueness of classical solutions
Solutions remain smooth for all time
Initial data smooth with compact support
Abstract
The Nordstr\"om-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.
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