Future of Bianchi I magnetic cosmologies with kinetic matter
General Relativity and Quantum Cosmology
2024-06-18 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2312.00618,
title = {Future of Bianchi I magnetic cosmologies with kinetic matter},
author = {Ho Lee and Ernesto Nungesser},
journal= {arXiv preprint arXiv:2312.00618},
year = {2024}
}
Comments
21 pages, presentation improved, references added