Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields

Autor:	Valery V. Obukhov
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Maxwell’s vacuum equations Hamilton–Jacobi equation Klein–Gordon–Fock equation algebra of symmetry operators separation of variables linear partial differential equations Elementary particle physics QC793-793.5
Zdroj:	Universe, Vol 8, Iss 4, p 245 (2022)
Druh dokumentu:	article
ISSN:	2218-1997
DOI:	10.3390/universe8040245
Popis:	Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is isomorphic to the algebra of group operators. Two frames associated with the group of motions are used to obtain systems of ordinary differential equations to which Maxwell’s equations reduce. The solutions are obtained in quadratures. The potentials of the admissible electromagnetic fields and the metrics of the spaces contained in the obtained solutions depend on six arbitrary time functions, so it is possible to use them to integrate field equations in the theory of gravity.
Databáze:	Directory of Open Access Journals
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