Abstract
Constraints on the Covariant Canonical Gauge Gravity (CCGG) theory from low-redshift cosmology are studied. The formulation extends Einstein’s theory of General Relativity (GR) by a quadratic Riemann–Cartan term in the Lagrangian, controlled by a “deformation” parameter. In the Friedman universe this leads to an additional geometrical stress energy and promotes, due to the necessary presence of torsion, the cosmological constant to a time-dependent function. The MCMC analysis of the combined data sets of Type Ia Supernovae, Cosmic Chronometers and Baryon Acoustic Oscillations yields a fit that is well comparable with the Lambda CDM results. The modifications implied in the CCGG approach turn out to be subdominant in the low-redshift cosmology. However, a non-zero spatial curvature and deformation parameter are shown to be consistent with observations.
Highlights
A novel, rigorously derived covariant canonical gauge theory of gravity (CCGG) has been applied to Friedman cosmology
This paper discusses the cosmological constraints on the Canonical Gauge Gravity (CCGG) formulation from low-redshift observations
CCGG is a gauge theory of gravity ensuring in a covariant way full diffeomorphism invariance of the system action
Summary
Rigorously derived covariant canonical gauge theory of gravity (CCGG) has been applied to Friedman cosmology. CCGG is based on the covariant version of the canonical transformation theory with which all gauge theories are derived on the same footing. The difference is just the symmetry group under consideration delivering the appropriate minimal coupling scheme for matter fields and the dynamical space-time. Such a “universal” approach must be subject to a comprehensive testing against all kinds of experiments, especially as CCGG is its novel application to gravity. There a first analysis of the CCGG-Friedman cosmology was limited to varying the only new parameter beyond CDM.
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