arXiv · 1609.09045
Kaluza-Klein cosmology from five-dimensional Lovelock-Cartan theory
Abstract
We study the Kaluza-Klein dimensional reduction of the Lovelock-Cartan theory in five-dimensional spacetime, with a compact dimension of $S^1$ 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.
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Oscar Castillo-Felisola, Cristóbal Corral, Simón del Pino, Francisca Ramírez. 2016-09-28. Kaluza-Klein cosmology from five-dimensional Lovelock-Cartan theory. https://doi.org/10.1103/physrevd.94.124020
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