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

TL;DR

This paper classifies and finds all non-equivalent exact solutions of Maxwell vacuum equations in homogeneous spaces invariant under the motion group G_3(IX), providing a comprehensive understanding of such solutions.

Contribution

It provides a complete classification and explicit solutions of Maxwell equations in homogeneous spaces with G_3(IX) symmetry, expanding the known solution space.

Findings

All non-equivalent exact solutions identified

Solutions are invariant under G_3(IX) group

The classification enhances understanding of electromagnetic fields in homogeneous spaces

Abstract

The classification of exact solutions of Maxwell vacuum equations for the case when the electromagnetic fields and metrics of homogeneous spaces are invariant with respect to the motion group $G_3(IX)$ is done. All appropriate non-equivalent exact solutions of Maxwell vacuum equations are found.