A cosmological model in Weyl-Cartan spacetime: II. Magnitude-redshift relation

TL;DR

This paper derives and tests the magnitude-redshift relation in a new Weyl-Cartan cosmological model using supernova data, comparing its fit to standard and other alternative models.

Contribution

It introduces a novel Weyl-Cartan cosmological model and analyzes its observational implications, especially the magnitude-redshift relation, using supernova data.

Findings

Best-fit parameters for the Weyl-Cartan model obtained from supernova data.

Comparison shows how the model's fit compares with standard cosmology.

Insights into the viability of Weyl-Cartan models as alternatives to dark energy.

Abstract

In this second part of our series of articles on alternative cosmological models we investigate the observational consequences for the new Weyl-Cartan model proposed earlier. We review the derivation of the magnitude-redshift relation within the standard FLRW model and characterize its dependence on the underlying cosmological model. With this knowledge at hand we derive the magnitude-redshift relation within our new Weyl-Cartan model. We search for the best-fit parameters by using the combined data set of 92 SNe of type Ia as compiled by Wang, which is based on recent supernova data of Perlmutter et al. and Riess et al. Additionally, we compare our best-fit parameters with the results of several other groups which performed similar analysis within the standard cosmological model as well as in non-standard models.