Stable cosmologies with collisionless charged matter

Abstract

It is shown that Milne models (a subclass of FLRW spacetimes with negative spatial curvature) are nonlinearly stable in the set of solutions to the Einstein-Vlasov-Maxwell system, describing universes with ensembles of collisionless self-gravitating, charged particles. The system contains various slowly decaying borderline terms in the mutually coupled equations describing the propagation of particles and Maxwell fields. The effects of those terms are controlled using a suitable hierarchy based on the energy density of the matter fields.

arXiv commentminor typos corrected

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• The Stability of Relativistic Fluids in Linearly Expanding Cosmologies
• Spherical accretion of a collisionless kinetic gas into a generic static black hole
• Future of Bianchi I magnetic cosmologies with kinetic matter
• Cosmic Censorship near FLRW spacetimes with negative spatial curvature