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 (LeBlanc 1997 Class. Quantum Grav. 14 2281-301) 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.
Original language | English |
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Article number | 135010 |
Journal | Classical and Quantum Gravity |
Volume | 41 |
Issue number | 13 |
DOIs | |
Publication status | Published - 4 Jul 2024 |
Bibliographical note
Publisher Copyright:© 2024 IOP Publishing Ltd.
Keywords
- Bianchi space-time
- Einstein-Vlasov
- cosmology