Exact Solutions of Maxwell Equations in Homogeneous Spaces with the Group of Motions <i>G</i>₃(<i>VIII</i>)

Abstract

The problem of the classification of the exact solutions to 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 the remaining groups of motion, G3(N), has already been solved in other papers. All non-equivalent solutions of empty Maxwell equations for all homogeneous spaces with admissible electromagnetic fields are now known.

Keywords

• Maxwell equations
• algebra of symmetry operators
• theory of symmetry
• linear partial differential equations