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

2023/03/02 by V. V. Obukhov, Obukhov, V. V. · 2 citations
Engineering · Mathematics · Physics and Astronomy · #70G65 #70S10 #83C10 #83C15 #Algebraic and Geometric Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Sensor Technology #Mathematical Physics (math-ph) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2303.01976

openalex publication_date 2023/03/02 · openalex created_date 2023/03/07 · openalex updated_date 2026/08/01

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 G₃(VIII) according to the Bianchi classification is considered. All non-equivalent solutions are found. The classification problem for remaining groups of motions G₃(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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• Exact solutions of Maxwell vacuum equations in Petrov homogeneous non-null spaces
• Classification of Einstein spaces with Stackel metric of type (3.0)

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