Quintessence Behaviour of an Anisotropic Bulk Viscous Cosmological Model in Modified $f(Q)$-Gravity

Abstract

In this article, we have discussed the results of our investigation. We consider an anisotropic viscous cosmological model of (LRS) Bianchi type I spacetime universe filled with a viscous fluid under $f(Q)$ gravity. We have studied the modified $f(Q)$ gravity with quadratic form $f(Q)=\alpha Q^2+\beta$, where $Q$ is called as a non-metricity scalar and $\alpha$, $\beta$ are positive constants. We obtain the modified Einstein field equation by considering the viscosity coefficient $\xi (t)={\xi }_{0}H$ and obtained the scale factor $a(t)=2sinh\left(\frac{m+2}{6}\sqrt{\frac{{\xi }_0}{\alpha (2m+1)}}t\right)$.We applied the observational constraint on the apparent magnitude $m(z)$ using the ${\chi }^2$ test formula with observational data set like JLA or Union 2.1 compilation and obtained the best approximate values of the model parameters $m,\alpha ,H_0{\xi }_0$. We have analyzed our model and found a transit phase quintessence anisotropic accelerating universe. We also examined the bulk viscosity equation of state (EoS) parameter ${\omega }_v$ and obtained its current value as ${\omega }_v<-1/3$, which shows the dark energy dominant model, cosmological constant, phantom, and super-phantom dark energy models, and tends to the $\Lambda$CDM value (${\omega }_v=-1$) in the late time. We also estimate the current age of the universe as $t_0\approx 13.6$ Grys and analyze the Statefinder parameters with $(s,r)\to (0,1)$ as $t\to \infty$.

19 pages, 14 figures

References in corpus (23)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Two new diagnostics of dark energy
• Extended Gravity Cosmography
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Viscous Cosmology for Early- and Late-Time Universe
• Energy Conditions in $f(Q)$ gravity
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Does Bulk Viscosity Create a Viable Unified Dark Matter Model?
• Model-independent reconstruction of $f(Q)$ non-metric gravity
• Traversable wormhole geometries in $f(Q)$ gravity
• Anisotropic nature of space-time in $f(Q)$ gravity
• Can a matter-dominated model with constant bulk viscosity drive the accelerated expansion of the universe?
• Exploring a matter-dominated model with bulk viscosity to drive the accelerated expansion of the Universe
• Cosmic acceleration and energy conditions in $\Lambda$CDM symmetric teleparallel $f(Q)$ gravity
• Friedmann cosmology with bulk viscosity: a concrete model for dark energy
• FRW Cosmology in $f(Q,T)$ Gravity
• Characteristic Properties of Two Different Viscous Cosmology Models for the Future Universe
• Traversable wormhole solutions with non-exotic fluid in framework of $f(Q)$ gravity
• Remarks on cosmological bulk viscosity in different epochs
• Integrability of Kerr-Newman spacetime with cloud strings, quintessence and electromagnetic field
• Study of a viscous $\Lambda$WDM model: Near equilibrium condition, entropy production, and cosmological constraints
• Quantum Cosmology in $f(Q)$ theory

Cited by in corpus (11)

• The Reconstruction of Constant Jerk Parameter with $f(R,T)$ Gravity
• Transit String Dark Energy Models in $f(Q)$ Gravity
• Cosmic acceleration with bulk viscosity in an anisotropic $f(R,L_m)$ background
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• A generalized $\Lambda$CDM model with parameterized Hubble parameter in particle creation, viscous and $f(R)$ model framework
• Late-time dynamics of dark energy EoS in symmetric teleparallel gravity
• Beyond $\Lambda$CDM: Exploring a Dynamical Cosmological Constant Framework Consistent with Late-Time Observations
• Observational constraints in late time for an axially symmetric transitioning model with bulk viscous fluid
• Static, Cylindrically Symmetric Spacetimes in the Coincident f(Q) Gravity
• Quintessence dark energy model in non-linear $f(Q)$ theory with bulk-viscosity
• The $f(Q)$ gravity and affine EoS: Compatibility and observational constraints