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

2023/01/27 by V. V. Obukhov, Obukhov, V. V. · 2 citations
Engineering · Mathematics · Physics and Astronomy · #70G65 #70H20 #70H40 #70S10 #Algebraic and Geometric Analysis #FOS: Physical sciences #Geophysics and Sensor Technology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2301.11595

openalex publication_date 2023/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 G₃(IX) is done. All appropriate non-equivalent exact solutions of Maxwell vacuum equations are found.

Cited by

• Exact solutions of Maxwell vacuum equations in Petrov homogeneous non-null spaces
• Classification of Einstein spaces with Stackel metric of type (3.0)

Related

• Exact solutions of Maxwell equations in homogeneous spaces with the group of motions G₃(VIII)
• Exact solutions of Maxwell vacuum equations in Petrov homogeneous non-null spaces
• Symmetric solutions of Einstein-Yang-Mills equations
• Purely electromagnetic spacetimes
• Symmetry and Exact Solutions of the Maxwell and SU(2) Yang-Mills Equations