Cosmic expansion history analysis with Hubble parametrization in Qn gravity

Abstract

In this paper, we propose a specialized parameterization for the Hubble parameter, inspired by [Formula: see text]CDM cosmology, to investigate the cosmic expansion history of the Universe. This parameterization is employed to analyze the universe’s late-time behavior within the context of [Formula: see text] gravity, where [Formula: see text] represents non-metricity. By using data from 57 Hubble data points, 1048 supernova (SNe) data points, and six Baryon Acoustic Oscillation (BAO) data points, we determine the optimal values for the model parameters. Additionally, we explore three distinct cosmological models based on the parameter [Formula: see text], specifically when it takes on the values of [Formula: see text], [Formula: see text] and [Formula: see text]. The results of our analysis indicate that our proposed parameterization, along with the associated models for different values of [Formula: see text], predicts an accelerated cosmic expansion phase.