Cosmic acceleration and energy conditions in $\Lambda$CDM symmetric teleparallel $f(Q)$ gravity

TL;DR

This paper investigates a cosmological model within symmetric teleparallel $f(Q)$ gravity, analyzing energy conditions and physical parameters to understand cosmic acceleration, and compares the models with observational data.

Contribution

It introduces specific $f(Q)$ gravity models with power-law forms and examines their physical viability through energy conditions and cosmological parameters.

Findings

Models satisfy energy conditions under certain parameters

Equation of state parameter aligns with dark energy behavior

Results are consistent with observational data

Abstract

In this paper, we study a spatially homogeneous and isotropic FLRW cosmological model in framework of the symmetric teleparallel $f(Q)$ gravity proposed by Jimenez et al. (Physical Review D 98.4 (2018): 044048), where the non-metricity $Q$ is responsible for the gravitational interaction. For the whole analysis we have considered a special form of $f\left(Q\right)$ gravity function i.e. $f\left( Q\right) =\alpha Q^{n}+\beta $ (where $\alpha $, $\beta $, and $n$ are the dynamical model constant parameters) in the direction of $t\left( z\right) =\frac{kt_{0}}{b}f\left( z\right)$, where, $f\left( z\right) =W\left[ \frac{b}{k}e^{\frac{b-\ln \left(1+z\right) }{k}}\right] $ and $W$ denotes the Lambert function. We have discussed two cases of the function: linear $f(Q)$ model towards $ n=1$ and quadratic for $n=2$. In both the model we had verified the validity of the models with the help of energy conditions along with some physical parameters like equation of state parameter, jerk parameter, statefinder parameters are also discussed in details and compared it with the observational data.