Kaluza-Klein cosmology from five-dimensional Lovelock-Cartan theory
arXiv:1609.09045 · doi:10.1103/PhysRevD.94.124020
Abstract
We study the Kaluza-Klein dimensional reduction of the Lovelock-Cartan theory in five-dimensional spacetime, with a compact dimension of topology. We find cosmological solutions of the Friedmann-Robertson-Walker class in the reduced spacetime. The torsion and the fields arising from the dimensional reduction induce a nonvanishing energy-momentum tensor in four dimensions. We find solutions describing expanding, contracting and bouncing universes. The model shows a dynamical compactification of the extra dimension in some regions of the parameter space.
12 pages, 8 figures. Comments and references added. Published version
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