https://doi.org/10.1140/epjc/s10052-021-08924-0
Regular Article – Theoretical Physics
Low-redshift constraints on covariant canonical Gauge theory of gravity
1
Frankfurt Institute for Advanced Studies (FIAS), Ruth-Moufang-Strasse 1, 60438, Frankfurt am Main, Germany
2
Physics Department, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel
3
Fachbereich Physik, Goethe-Universitat, Max-von-Laue-Strasse 1, 60438, Frankfurt am Main, Germany
Received:
24
November
2020
Accepted:
26
January
2021
Published online:
5
February
2021
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 
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.
© The Author(s) 2021
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