Anisotropic nature of space-time in $f(Q)$ gravity

TL;DR

This paper explores anisotropic space-time in $f(Q)$ gravity, deriving exact solutions for Bianchi type-I universe, analyzing cosmological parameters, fitting model with Hubble data, and testing stability and energy conditions.

Contribution

It provides new exact solutions in $f(Q)$ gravity for anisotropic cosmology and constrains model parameters using recent observational data.

Findings

Model fits well with Hubble data

Parameters $k, n, H_0$ are constrained

Model stability and energy conditions are satisfied

Abstract

In this paper, we consider the Bianchi type-I space-time with perfect fluid as matter content of the Universe in the framework of $f(Q)$ gravity (where $% Q$ is the non-metricity scalar) recently proposed by Jim\'{e}nez et al. (Phys. Rev. D 98.4 (2018): 044048). We find exact solutions of the field equations using the anisotropic property of space-time for volumetric hybrid expansion. The cosmological parameters for the linear form of non-metricity scalar i.e. $f\left( Q\right) =\alpha Q+\beta $ (where $\alpha $ and $\beta $ are free model parameters) are discussed and compared with recent Hubble measurements. Also, we have obtained the best fitting values of the model parameters $k, n$ and $H_{0}$ by constraining our model with updated Hubble datasets consisting of 57 data points ($31$ (DA) and $26$ (BAO+other)) along with also examined the stability of the model and test its validity by energy conditions.