On irreducible partials of Ricci tensor traceless part in finite space-time region in GR
Yu. Semenov
Abstract
Riemann tensor irreducible part Eiklm = 1/2 (gilSkm + gkmSil - gimSkl - gklSim) constructed from metric tensor gik and traceless part of Ricci tensor Sik = Rik - 1/4 gik R is expanded into bilinear combinations of bivectorial fields being eigenfunctions of E. Field equations for the bivectors induced by Bianchi identities are studied and it is shown that in general case it will be 3-parametric local symmetry group Yang-Mills field.
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