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

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

2003-03-25

arxiv.org/abs/gr-qc/0303098v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

Riemann tensor irreducible part $E_{iklm} = {1/2} (g_{il}S_{km} + g_{km}S_{il} - g_{im}S_{kl} - g_{kl}S_{im})$ 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.

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