On irreducible partials of Ricci tensor traceless part in finite space-time region in GR

Yu. Semenov

paper

On irreducible partials of Ricci tensor traceless part in finite space-time region in GR

arXiv:gr-qc/0303098

Abstract

Riemann tensor irreducible part $E_{ik l m} = 1/2 (g_{i l} S_{k m} + g_{k m} S_{i l} - g_{im} S_{k l} - g_{k l} S_{im})$ constructed from metric tensor $g_{ik}$ and traceless part of Ricci tensor $S_{ik} = R_{ik} - 1/4 g_{ik} R$ 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.

LaTeX2e, 13 pages, to be published in Ukrainian Physical Journal