Homogeneous solutions to the Einstein-matter equations with a magnetic field and a conformal gauge singularity
General Relativity and Quantum Cosmology
2025-05-13 v2 Mathematical Physics
math.MP
Abstract
We study massless solutions to the Einstein equations coupled to different matter models with a magnetic field and a conformal gauge singularity assuming spatial homogeneity with three commuting spatial translations. We show that there are no solutions in the case that the matter model is a radiation fluid. If the matter is described via kinetic theory we obtain that there exist unique solutions to the Einstein-Vlasov system and the Einstein-Boltzmann system for a certain range of soft potentials. For both the Vlasov and the Boltzmann case we also obtain asymptotic expansions close to the initial conformal gauge singularity.
Keywords
Cite
@article{arxiv.2408.10736,
title = {Homogeneous solutions to the Einstein-matter equations with a magnetic field and a conformal gauge singularity},
author = {Ho Lee and Ernesto Nungesser and John Stalker and Paul Tod},
journal= {arXiv preprint arXiv:2408.10736},
year = {2025}
}
Comments
35 pages, typos corrected and presentation improved