Exact solutions of Maxwell equations in homogeneous spaces with the group of motions $G_3(VIII)$

V. V. Obukhov

paper

Exact solutions of Maxwell equations in homogeneous spaces with the group of motions $G_{3} (V I I I)$

arXiv:2303.01976

Abstract

The problem of classification of exact solutions of Maxwell's vacuum equations for admissible electromagnetic fields and homogeneous space-time with the group of motions $G_{3} (V I I I)$ according to the Bianchi classification is considered. All non-equivalent solutions are found. The classification problem for remaining groups of motions $G_{3} (N)$ has already been solved in the other papers. That is why all non-equivalent solutions of empty Maxwell equations for all homogeneous spaces with admissible electromagnetic fields are known now.

Will be publised in Symmetry, 15 pages

Exact solutions of Maxwell equations in homogeneous spaces with the group of motions G3​(VIII)

Abstract

Exact solutions of Maxwell equations in homogeneous spaces with the group of motions $G_{3} (V I I I)$