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

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 (Q) gravity function i.e.where α, β, and n are the dynamical model constant parameters) in the direction of t (z) = kt 0 b f (z), where, f (z) = W b k e 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.

Thermodynamical aspects of Bianchi type-I Universe in quadratic form of $f\left( Q\right) $ gravity and observational constraints

“…1 and 2 respectively for of α = 0.215, 0.225, 0.235 and α ∈ [0.215, 0.235]. We can see from this figure, that our model shows a transition from early deceleration to late-time acceleration for all the values of the parameter α which is keeping with the findings of the work contained in [31,32] and is in excellent agreement with current observations.…”

“…Using the same law of hybrid expansion explored by Shekh et al [34] in which they showed that the holographic dark energy fluid with perfect fluid mimicked a ΛCDM model. By transforming the above hybrid law into regular bounce the same author [32] discussed the dynamical analysis with thermodynamic aspects of anisotropic dark energy bounce cosmological model in f (R, G) gravity and observed that equation of state parameter takes a negative value which is an acceptable form observed by SNe-Ia observations. Now, from Eqs.…”

“…Furthermore, the Universe exhibits the transition from early deceleration phase to the observed current acceleration phase. Koussour et al [32] studied a spatially homogeneous and isotropic FLRW cosmological model in the framework of symmetric teleparallel gravity of the form f (Q) = αQ n + β with Lambert function. This model achieved quintessence field in present epoch of the Universe and ΛCDM model in future with the strong justification jerk and statefinder parameters.…”

Flat LRW Universe in logarithmic symmetric teleparallel gravity with observational constraints

“…It is also worth mentioning that while the field equations in f (R) gravity are fourth-order, they are of second-order in f (Q) gravity. Koussour et al [12], studied the cosmic acceleration and energy conditions in f (Q) using the hybrid expansion law (HEL). S. Mandal et al [13], examined the energy conditions in order to verify the stability of their supposed cosmological models and constraints the model parameters with the current values of cosmological parameters in f (Q) gravity.…”

Anisotropic f(Q) gravity model with bulk viscosity

“…In this work, we will examine a cosmological model in order to explain the cosmic acceleration in the framework of f (Q) symmetric teleparallel gravity proposed by Jiménez et al [23], where the non-metricity scalar Q is responsible for the gravitational interaction in this theory. Energy conditions [24], cosmography [25], spherically symmetric configuration [26], signature of f (Q) gravity [27], growth index of matter perturbations [28], coupling matter [29], quantum cosmology for a f (Q) polynomial model [30], geodesic deviation equation [31], isotropization of LRS Bianchi-I Universe [32], etc, all these topics have been discussed in the framework of f (Q) gravity by several researchers and also the reader can see our work in this context [33][34][35][36][37].…”