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This article is cited in 2 scientific papers (total in 2 papers)
Stationary model of the Universe with torsion
V. I. Panzhenskij Penza State University, Penza, Russia
Abstract:
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, automorphism, torsion tensor.
Received: 25.10.2012
Citation:
V. I. Panzhenskij, “Stationary model of the Universe with torsion”, TMF, 177:1 (2013), 151–162; Theoret. and Math. Phys., 177:1 (2013), 1412–1422
Linking options:
https://www.mathnet.ru/eng/tmf8438https://doi.org/10.4213/tmf8438 https://www.mathnet.ru/eng/tmf/v177/i1/p151
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Abstract page: | 458 | Full-text PDF : | 186 | References: | 51 | First page: | 37 |
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