Constraints on power law and exponential models in f(Q) gravity

Abstract

In this paper, we observationally test the $f\left(Q\right)$ gravity model at both background and perturbation levels using Pantheon⁺, Hubble measurements, and Redshift Space Distortion Data. We obtain the best-fit parameters by solving numerically the modified Friedmann equations for two distinct cosmological models of $f\left(Q\right)$ gravity namely the Power law and Exponential models. This involves performing a Markov Chain Monte Carlo analysis for these specific forms of $f\left(Q\right)$. To evaluate the statistical significance of the $f\left(Q\right)$ gravity models, we use the Bayesian and corrected Akaike Information Criteria. Our results indicate that the Exponential model in $f\left(Q\right)$ gravity is statistically favored over both the Power-law model and the ΛCDM model.