Cosmic acceleration and energy conditions in $\Lambda$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 $f\left(Q\right)$ 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 $t\left(z\right)=\frac{k{t}_0}{b}f\left(z\right)$, 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.

13 pages, 11 figures

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• Accelerating Universe scenario in anisotropic $f\left(Q\right)$ cosmology
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• Quintessence Behaviour of an Anisotropic Bulk Viscous Cosmological Model in Modified $f(Q)$-Gravity
• Thermodynamical aspects of Bianchi type-I Universe in quadratic form of $f\left(Q\right)$ gravity and observational constraints
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• Cosmological constraints on dark energy in $f(Q)$ gravity: A parametrized perspective
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• Observational analysis of late-time acceleration in $f(Q,L_m)$ gravity
• Constraining the cosmological model of modified $f(Q)$ gravity: Phantom dark energy and observational insights
• Flat FLRW Universe in logarithmic symmetric teleparallel gravity with observational constraints
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• Anisotropic f(Q) gravity model with bulk viscosity
• A new $f(Q)$ cosmological model with $H(z)$ quadratic expansion
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• Stability analysis of f(Q) gravity models using dynamical systems
• Quintessence-like features in the late-time cosmological evolution of $f(Q)$ symmetric teleparallel gravity
• Modified cosmology in $f(Q,L_m)$ gravity
• Validity of energy conditions of matter in traversable wormholes under the $f(Q)$ modified gravity theory
• Bouncing behavior in $f(R,L_m)$ gravity: Phantom crossing and energy conditions
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• Signature flips in time-varying $\Lambda (t)$ cosmological models with observational data
• Barrow holographic dark energy models in $f\left(Q\right)$ symmetric teleparallel gravity with Lambert function distribution
• Cosmological constraints on $f(Q)$ gravity models in the non-coincident formalism
• Constraining Exponential f(Q) Gravity with Cosmic Chronometers and Supernovae: A Data-Driven Analysis
• Constraining viscous fluid models in $f(Q)$ gravity with data
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• Scalar field dark energy: Insights into cosmological evolution and black hole accretion
• Impact of dark energy on the equation of state in light of the latest cosmological data
• Observational constraints using Bayesian statistics and Deep Learning in $f(Q)$ gravity
• Scalar perturbation and density contrast evolution in $f(Q,C)$ gravity