Solutions of Maxwell equations for admissible electromagnetic fields, in spaces with simply transitive four-parameter groups of motions-Reference-Cited by-同舟云学术

Solutions of Maxwell equations for admissible electromagnetic fields, in spaces with simply transitive four-parameter groups of motions

Published:2023-12-21 Issue: Volume: Page:
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Obukhov V. V.¹²^ORCID,Chervon S. V.³⁴^ORCID,Kartashov D. V.¹^ORCID

Affiliation:

1. Institute of Scientific Research and Development, Tomsk State Pedagogical University (TSPU), 60 Kievskaya St., Tomsk 634041, 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, Tomsk 634050, Russia

3. Laboratory of Gravitation, Cosmology, Astrophysics, Ulyanovsk State Pedagogical University, Lenin’s square, 4/5, Ulyanovsk 432071, Russia

4. Physics Department, Bauman Moscow State Technical University, 2nd Baumanskaya Street 5, Moscow 105005, Russia

Abstract

All non-equivalent solutions of vacuum Maxwell equations are found for the case when space-time manifolds admit simply transitive four-parameter groups of motions [Formula: see text]. The potentials of the admissible electromagnetic fields admit the existence of the algebra of motion integrals of the Hamilton–Jacobi and Klein–Gordon–Fock equations which is isomorphic to the algebra of the group operators for the same group [Formula: see text].

Funder

Russian Science Foundation

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887824500920