The Einstein-Vlasov-Maxwell(EVM) System with Spherical Symmetry

Abstract

We look for the global in time solution of the Cauchy problem corresponding to the asymptotically flat spherically symmetric EVM system with small initial data. Using an estimate, we also prove that if solution of the system stated above develops a singularity at all time, then the first one has to appear at the center of symmetry.

24 pages, submitted to the Math.Proc.Camb.Phil.Soc

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Cited by in corpus (7)

• The Einstein-Vlasov System/Kinetic Theory
• A numerical investigation of the steady states of the spherically symmetric Einstein-Vlasov-Maxwell system
• An introduction to the relativistic kinetic theory on curved spacetimes
• Avoidance of singularities in spherically symmetric charged dust
• Stable cosmologies with collisionless charged matter
• On surface-symmetric spacetimes with collisionless and charged matter
• On the non-relativistic limit of the spherically symmetric Einstein-Vlasov-Maxwell system