Solutions of Maxwell equations for admissible electromagnetic fields, in spaces with simply transitive four-parameter groups of motions
Mathematical Physics
2023-12-18 v2 math.MP
Abstract
All non-equivalent solutions of vacuum Maxwell equations are found for the case when space-time manifolds admit simply transitive four-parameter groups of motions . The potentials of the admissible electromagnetic fields admit the existence of the algebra of motion integrals of the Hamilton-Jacobi and Klein-Gordon-Fock equations which is isomorphic to the algebra of the group operators for the same group
Keywords
Cite
@article{arxiv.2311.04725,
title = {Solutions of Maxwell equations for admissible electromagnetic fields, in spaces with simply transitive four-parameter groups of motions},
author = {V. V. Obukhov and S. V. Chervon and D. V. Kartashov},
journal= {arXiv preprint arXiv:2311.04725},
year = {2023}
}
Comments
15 pages, will be published in Journal of Geometric Methods in Modern Physics