Solutions of Maxwell equations for admissible electromagnetic fields, in spaces with simply transitive four-parameter groups of motions

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 $G_4(N)$. 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 $G_4(N)$

15 pages, will be published in Journal of Geometric Methods in Modern Physics

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Cited by in corpus (3)

• Classification of Petrov Homogeneous Spaces
• Linear perturbations of an exact gravitational wave in the Bianchi IV universe
• Semiclassical states localized on a one-dimensional manifold and governed by the nonlocal NLSE with an anti-Hermitian term