Cosmology from a gauge induced gravity

TL;DR

This paper explores a gauge-induced gravity model derived from a Yang-Mills theory with a specific gauge group, resulting in an effective Einstein-Cartan-like cosmological theory with promising early universe applications.

Contribution

It introduces a novel gauge-induced gravity framework based on $SO(m,n)$ Yang-Mills theory, leading to an effective gravity model with torsion and de Sitter phases.

Findings

The model exhibits three cosmological regimes.

A high-curvature de Sitter phase emerges.

The theory approaches a $$CDM model at late times.

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.