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

Abstract

In this second part of our series of papers 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 Friedmann–Lemaître–Robertson–Walker 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 the 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.