Dimensionally compactified Chern-Simon theory in 5D as a gravitation theory in 4D
arXiv:1612.00409 · doi:10.1142/S2010194517600059
Abstract
We propose a gravitation theory in 4 dimensional space-time obtained by compacting to 4 dimensions the five dimensional topological Chern-Simons theory with the gauge group SO(1,5) or SO(2,4) -- the de Sitter or anti-de Sitter group of 5-dimensional space-time. In the resulting theory, torsion, which is solution of the field equations as in any gravitation theory in the first order formalism, is not necessarily zero. However, a cosmological solution with zero torsion exists, which reproduces the Lambda-CDM cosmological solution of General Relativity. A realistic solution with spherical symmetry is also obtained.
arXiv comment10 pages, Latex, Talk presented by O.P. at the Conference "IWARA 2016: Quarks and Cosmos", October 2016, Gramado, RS, Brazil. V2: Reference added