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arXiv · 2408.10736

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

Ho Lee·Ernesto Nungesser·John Stalker·Paul Tod
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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.

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Ho Lee, Ernesto Nungesser, John Stalker, Paul Tod. 2024-08-20. Homogeneous solutions to the Einstein-matter equations with a magnetic field and a conformal gauge singularity. https://doi.org/10.1007/s13163-025-00525-9

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