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arXiv · 1508.04329

Cosmology from a gauge induced gravity

F. T. Falciano·G. Sadovski·R. F. Sobreiro·A. A. Tomaz
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Abstract

The main goal of the present work is to analyze the cosmological scenario of the induced gravity theory developed in previous works. Such a theory consists on a Yang-Mills theory in a four-dimensional Euclidian spacetime with $SO(m,n)$ such that $m+n=5$ and $m\in\{0,1,2\}$ as its gauge group. This theory undergoes a dynamical gauge symmetry breaking via an In\"on\"u-Wigner contraction in its infrared sector. As a consequence, the $SO(m,n)$ algebra is deformed into a Lorentz algebra with the emergency of the local Lorentz symmetries and the gauge fields being identified with a vierbein and a spin connection. As a result, gravity is described as an effective Einstein-Cartan-like theory with ultraviolet correction terms and a propagating torsion field. We show that the cosmological model associated with this effective theory has three different regimes. In particular, the high curvature regime presents a de Sitter phase which tends towards a $\Lambda$CDM model. We argue that $SO(m,n)$ induced gravities are promising effective theories to describe the early phase of the universe.

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F. T. Falciano, G. Sadovski, R. F. Sobreiro, A. A. Tomaz. 2015-08-18. Cosmology from a gauge induced gravity. https://doi.org/10.1007/s10714-017-2282-z

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