Work

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

Year: 2025

Type: article

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.

Source: Revista Matemática Complutense

DOI: 10.1007/s13163-025-00525-9

Authors: Ho Lee, Ernesto Nungesser, John Stalker, Paul Tod

Institutions: Kyung Hee University, Universidad Politécnica de Madrid, Trinity College Dublin, University of Oxford

Language: English

Topic: Cosmology and Gravitation Theories

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: National Research Foundation of Korea, Universidad Politécnica de Madrid, Mathematisches Forschungsinstitut Oberwolfach