Accelerating Universe scenario in anisotropic $f\left( Q\right) $ cosmology

TL;DR

This paper explores an anisotropic $f(Q)$ gravity model with a specific power-law form, analyzing its cosmological implications and showing it mimics quintessence and $ ext{Lambda}$CDM behaviors over time.

Contribution

It provides an exact solution in anisotropic $f(Q)$ gravity with a novel power-law form, analyzing cosmological parameters and validating the model against energy conditions.

Findings

Model behaves like quintessence in the present.

Model approaches $ ext{Lambda}$CDM in the future.

Cosmological parameters are consistent with physical energy conditions.

Abstract

In this paper, we investigate the exact solution of an anisotropic space-time in the context of $f(Q)$ gravity, where $f\left( Q\right) $ is the arbitrary function of the non-metricity scalar $Q$. Here, we consider a specific power-law form as $f\left( Q\right) =\alpha Q^{n+1}+\beta $, where $\alpha $, $\beta $, and $n$ are free model parameters. Using power-law cosmology ($a\left( t\right) \propto t^{m}$), we analyze the physical behavior of cosmological parameters such as the energy density, pressure, EoS parameter, skewness parameter. Further, we validated the model with energy conditions and found that our $f\left( Q\right) $\ cosmological model behaves like the quintessence model in the present and $% \Lambda $CDM in the future.