Exact Solutions of Maxwell Equations in Homogeneous Spaces with the Group of Motions G3(IX)

Author:

Obukhov Valeriy V.12

Affiliation:

1. Institute of Scietific Research and Development, Tomsk State Pedagogical University (TSPU), 60 Kievskaya St., 634041 Tomsk, Russia

2. Laboratory for Theoretical Cosmology, International Center of Gravity and Cosmos, Tomsk State University of Control Systems and Radio Electronics (TUSUR), 36, Lenin Avenue, 634050 Tomsk, Russia

Abstract

This paper classifies the exact solutions of the 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). All the appropriate non-equivalent exact solutions of the Maxwell vacuum equations are found.

Funder

Russian Science Foundation

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

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