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arXiv · 2303.01976

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

V. V. Obukhov
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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 $G_3(VIII)$ 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.

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V. V. Obukhov. 2023-03-02. Exact solutions of Maxwell equations in homogeneous spaces with the group of motions $G_3(VIII)$. https://arxiv.org/abs/2303.01976

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