Cosmic acceleration and energy conditions in symmetric teleparallel f (Q) gravity

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 (Q ) gravity function i.e. f (Q ) = alpha Q(n) + beta (where alpha, beta, and n are the dynamical model constant parameters) in the direction of t (z) = kt(0)/b f (z), where, f (z) = W [ b/ke(b-ln(1+z)/k) ] 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. (c) 2022 Elsevier B.V. All rights reserved.

Automated summary

In this paper, a spatially homogeneous and isotropic FLRW cosmological model is studied within the framework of symmetric teleparallel f(Q) gravity. The validity of two specific forms of the f(Q) gravity function is discussed, along with the comparison with observational data.