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.

arXiv comment21 pages, presentation improved, references added

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Cited by in corpus (1)

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