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Article

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

by
Valeriy V. Obukhov
1,2
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
Axioms 2023, 12(2), 135; https://doi.org/10.3390/axioms12020135
Submission received: 23 December 2022 / Revised: 20 January 2023 / Accepted: 26 January 2023 / Published: 29 January 2023
(This article belongs to the Special Issue Geometry Analysis in Mathematical Physics)
Versions Notes

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.
Keywords: Maxwell equations; Klein–Gordon–Fock equation; algebra of symmetry operators; theory of symmetry; linear partial differential equations Maxwell equations; Klein–Gordon–Fock equation; algebra of symmetry operators; theory of symmetry; linear partial differential equations

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MDPI and ACS Style

Obukhov, V.V. Exact Solutions of Maxwell Equations in Homogeneous Spaces with the Group of Motions G3(IX). Axioms 2023, 12, 135. https://doi.org/10.3390/axioms12020135

AMA Style

Obukhov VV. Exact Solutions of Maxwell Equations in Homogeneous Spaces with the Group of Motions G3(IX). Axioms. 2023; 12(2):135. https://doi.org/10.3390/axioms12020135

Chicago/Turabian Style

Obukhov, Valeriy V. 2023. "Exact Solutions of Maxwell Equations in Homogeneous Spaces with the Group of Motions G3(IX)" Axioms 12, no. 2: 135. https://doi.org/10.3390/axioms12020135

APA Style

Obukhov, V. V. (2023). Exact Solutions of Maxwell Equations in Homogeneous Spaces with the Group of Motions G3(IX). Axioms, 12(2), 135. https://doi.org/10.3390/axioms12020135

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