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arXiv · 2312.00618

Future of Bianchi I magnetic cosmologies with kinetic matter

Ho Lee·Ernesto Nungesser
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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.

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Ho Lee, Ernesto Nungesser. 2023-12-01. Future of Bianchi I magnetic cosmologies with kinetic matter. https://doi.org/10.1088/1361-6382/ad4fd8

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