Local Existence and Continuation Criterion for Solutions of the Spherically Symmetric Einstein-Vlasov-Maxwell System

Abstract

Using the iterative Scheme we prove the local existence and uniqueness of solutions of the spherically symmetric Einstein-Vlasov-Maxwell system with small initial data. We prove a continuation criterion to global in-time solutions.

25 pages

References in corpus (1)

• Existence of initial data satisfying the constraints for the spherically symmetric Einstein-Vlasov-Maxwell system

Cited by in corpus (6)

• The Einstein-Vlasov System/Kinetic Theory
• The Einstein-Vlasov system/Kinetic theory
• Theorems on existence and global dynamics for the Einstein equations
• A numerical investigation of the steady states of the spherically symmetric Einstein-Vlasov-Maxwell system
• Global Existence of Solutions for the Einstein-Boltzmann System in a Bianchi Type I Space-Time
• The Einstein-Vlasov-Maxwell(EVM) System with Spherical Symmetry