Future of Bianchi I magnetic cosmologies with kinetic matter

Abstract

We show under the assumption of small data that solutions to the Einstein-Vlasov system with a pure magnetic field and Bianchi I symmetry isotropise and tend to dust solutions. We also obtain the decay rates for the main variables. This generalises part of the work [V.~G.~LeBlanc, Classical Quantum Gravity 14, 2281-2301 (1997)] concerning the future behaviour of orthogonal perfect fluids with a linear equation of state in the presence of a magnetic field to the Vlasov case.

21 pages, presentation improved, references added

References in corpus (9)

• In the Realm of the Hubble tension $-$ a Review of Solutions
• Constraints on a Bianchi type I spacetime extension of the standard $\Lambda$CDM model
• Isotropization of non-diagonal Bianchi I spacetimes with collisionless matter at late times assuming small data
• Bianchi-I cosmologies, magnetic fields and singularities
• Stable cosmologies with collisionless charged matter
• Future attractors of Bianchi types II and V cosmologies with massless Vlasov matter
• On surface-symmetric spacetimes with collisionless and charged matter
• Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant
• On almost Ehlers-Geren-Sachs theorems

Cited by in corpus (1)

• Homogeneous solutions to the Einstein-matter equations with a magnetic field and a conformal gauge singularity