Geodesic
Stationary model of the Universe with torsion
Teoretičeskaâ i matematičeskaâ fizika, Tome 177 (2013) no. 1, pp. 151-162 Cet article a éte moissonné depuis la source Math-Net.Ru

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On a four-dimensional pseudo-Riemannian manifold with the metric of a stationary model of the Universe, we construct a Riemann–Cartan structure with the automorphism group of maximum dimension. The torsion tensor of this structure is the sum of two parts: semisymmetric, aspiring to geometrization of the spin density of matter, and skew-symmetric, determining the torsion of a spatial section. We give a geometric interpretation of the spatial section torsion. We prove that the maximum dimension of the Lie group of automorphisms of a Riemann–Cartan space–time manifold with a semisymmetric or skew-symmetric connection is seven.
Keywords: Riemann–Cartan manifold
Mots-clés : automorphism, torsion tensor. 
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V. I. Panzhenskij. Stationary model of the Universe with torsion. Teoretičeskaâ i matematičeskaâ fizika, Tome 177 (2013) no. 1, pp. 151-162. http://geodesic.mathdoc.fr/item/TMF_2013_177_1_a7/

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