Journal of Siberian Federal University. Mathematics & Physics / Einsteins Equations on a 4-manifold of Conformal Torsion-Free Connection.

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2012 5 (3)
Authors
Krivonosov, Leonid N.; Lukyanov, Vyacheslav A.
Contact information
Krivonosov, Leonid N. :; Lukyanov, Vyacheslav A. : e-mail:
Keywords
Einstein equations; Yang-Mills equations; Hodge operator; Maxwell's equations; manifold of conformal connection with torsion and without torsion
Abstract

The main defect of Einstein equations - non geometrical right part - is eliminated. The key concept of equidual tensor is introduced. It appeared to be in a close relation both with Einsteins equations, and with Yang-Mills equations. The criterion of equidual basic affinor of conformal connection manifold without torsion is received. Decomposition of the basic affinor into a sum of equidual, conformally invariant and irreducible summands is found. A.Z.Petrovs algebraic classification is generalized. Einstein equations are given a new variational foundation and their geometrical nature is found. Geometric sense of acceleration and dilatation gauge transformations is specified.

Pages
393-408
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/2919