Dark energy and inflation invoked in CCGG by locally contorted space-time

TL;DR

This paper explores how Covariant Canonical Gauge Theory of Gravity (CCGG) introduces torsion and a scalar field that mimic dark energy, leading to diverse cosmological scenarios and potential solutions to the cosmological constant problem and Hubble tension.

Contribution

It demonstrates that CCGG naturally incorporates torsion and a scalar field affecting cosmology, with a single parameter controlling deviations from Einstein gravity and explaining various universe evolutions.

Findings

Identification of three cosmological solutions including bounce and inflation scenarios

The deformation parameter influences the universe's evolution and can be constrained by observations

The theory offers insights into the cosmological constant problem and Hubble tension

Abstract

The cosmological implications of the Covariant Canonical Gauge Theory of Gravity (CCGG) are investigated. We deduce that, in a metric compatible geometry, the requirement of covariant conservation of matter invokes torsion of space-time. In the Friedman model this leads to a scalar field built from contortion and the metric with the property of dark energy, which transforms the cosmological constant to a time-dependent function. Moreover, the quadratic, scale invariant Riemann-Cartan term in the CCGG Lagrangian endows space-time with kinetic energy, and in the field equations adds a geometrical curvature correction to Einstein gravity. Applying in the Friedman model the standard $\Lambda$CDM parameter set, those equations yield a cosmological field depending just on one additional, dimensionless ``deformation'' parameter of the theory that determines the strength of the quadratic term, viz. the deviation from the Einstein-Hilbert ansatz. Moreover, the apparent curvature of the universe differs from the actual curvature parameter of the metric. The numerical analysis in that parameter space yields three cosmology types: (I) A bounce universe starting off from a finite scale followed by a steady inflation, (II) a singular Big Bang universe undergoing a secondary inflation-deceleration phase, and (III) a solution similar to standard cosmology but with a different temporal profile. The common feature of all scenarios is the graceful exit to the current dark energy era. The value of the deformation parameter can be deduced by comparing theoretical calculations with observations, namely with the SNeIa Hubble diagram and the deceleration parameter. That comparison implies a considerable admixture of scale invariant quadratic gravity to Einstein gravity. This theory also sheds new light on the resolution of the cosmological constant problem and of the Hubble tension.