Journal of Siberian Federal University. Mathematics & Physics / Connection of Young-Mills Equations with Einstein and Maxwells Equations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2009 2 (4)
Authors
Krivonosov, Leonid N.; Lukyanov, Vyacheslav A.
Contact information
Krivonosov, Leonid N. :; Lukyanov, Vyacheslav A. : e-mail:
Keywords
curvature of the connection; torsion of the connection; Hodge operator; Bianchi identity; Einstein equations; Maxwell's equations; Young-Mills equations; 4-dimensional conformally connected manifold
Abstract

In this article it is shown that Young-Mills equations on a 4-dimensional conformally connected manifold without torsion may be reduced to three groups of equations: 10 Einstein equations, 8 Maxwells equations and 9 equations of substance movement. In the given work successful unification of gravitation and electromagnetism in the model of conformally connected manifold without torsion is carried out. It makes the idea of unification of all four kinds of interactions in the Nature within the framework of the 4- dimensional conformally connected manifold with torsion optimistic.

Pages
432-448
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1522