Geodesic
Stationary model of the~Universe with torsion
Teoretičeskaâ i matematičeskaâ fizika, Tome 177 (2013) no. 1, pp. 151-162

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2013_177_1_a7,
     author = {V. I. Panzhenskij},
     title = {Stationary model of {the~Universe} with torsion},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {151--162},
     publisher = {mathdoc},
     volume = {177},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_177_1_a7/}
}
TY  - JOUR
AU  - V. I. Panzhenskij
TI  - Stationary model of the~Universe with torsion
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2013
SP  - 151
EP  - 162
VL  - 177
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2013_177_1_a7/
LA  - ru
ID  - TMF_2013_177_1_a7
ER  - 
%0 Journal Article
%A V. I. Panzhenskij
%T Stationary model of the~Universe with torsion
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2013
%P 151-162
%V 177
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2013_177_1_a7/
%G ru
%F TMF_2013_177_1_a7
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/