Cosmic expansion history analysis with Hubble parametrization in \(Q^{n}\) gravity

Abstract

We propose a specialized parameterization for the Hubble parameter, inspired by \(\Lambda\)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 \(Q^n\) gravity, where \(Q\) represents non-metricity. By using data from 57 Hubble data points, 1048 supernova (SNe) data points, and 6 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 \(n\), specifically when it takes on the values of \(0.55\), \(1.5\), and \(2.0\). The results of our analysis indicate that our proposed parameterization, along with the associated models for different values of \(n\), predicts an accelerated cosmic expansion phase.