Late-time acceleration in $f\left(Q\right)$ gravity: Analysis and constraints in an anisotropic background

Abstract

This paper is devoted to investigate the anisotropic locally rotationally symmetric (LRS) Bianchi type-I space-time in the context of the recently proposed $f(Q)$ gravity in which $Q$ is the non-metricity scalar. For this purpose, we consider a linear form of $f\left(Q\right)$ gravity model, specifically, $f\left(Q\right)=\alpha Q+\beta$, where $\alpha$ and are free parameters and we analyzed the exact solutions of LRS Bianchi type-I space-time. The modified Friedmann equations are solved by presuming an expansion scalar $\theta \left(t\right)$ is proportional to the shear scalar $\sigma \left(t\right)$ which leads to the relation between the metric potentials as $A=B^n$ where $n$ is an arbitrary constant. Then we constrain our model parameters with the observational Hubble datasets of 57 data points. Moreover, we discuss the physical behavior of cosmological parameters such as energy density, pressure, EoS parameter, and deceleration parameter. The behavior of the deceleration parameter predicts a transition from deceleration to accelerated phases in an expanding Universe. Finally, the EoS parameter indicates that the anisotropic fluid behaves like the standard $\Lambda$CDM model.

arXiv commentAnnals of Physics accepted version

References in corpus (22)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• f(T) teleparallel gravity and cosmology
• Einstein's Other Gravity and the Acceleration of the Universe
• Coincident General Relativity
• Cosmology in $f(Q)$ geometry
• On Born-Infeld Gravity in Weitzenbock spacetime
• Coupling matter in modified $Q$-gravity
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Cosmic Microwave Background and Supernova Constraints on Quintessence: Concordance Regions and Target Models
• Locally Rotationally Symmetric Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• Holographic explanation of wide-angle power correlation suppression in the Cosmic Microwave Background Radiation
• Anisotropic Universe Models in f(T) Gravity
• How Anisotropic is our Universe?
• Anisotropic cosmological models in $f(R,T)$ gravity with variable deceleration parameter
• Cosmic acceleration and energy conditions in $\Lambda$CDM symmetric teleparallel $f(Q)$ gravity
• Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry
• Weak Field Limit and Gravitational Waves in $f(T,B)$ Teleparallel Gravity
• Isotropization of locally rotationally symmetric Bianchi-I universe in $f(Q)$-gravity
• Holographic dark energy in Gauss-Bonnet gravity with Granda-Oliveros cut-off
• 5D Radiating black holes in Einstein-Yang-Mills-Gauss-Bonnet gravity

Cited by in corpus (34)

• Observational constraints on two cosmological models of $f(Q)$ theory
• Quasinormal Modes of Black holes in $f(Q)$ gravity
• Constrained $f(Q,T)$ gravity accelerating cosmological model and its dynamical system analysis
• Constant sound speed and its thermodynamical interpretation in $f(Q)$ gravity
• Investigating the dark energy phenomenon in $f(R,L_m)$ cosmological models with observational constraints
• Accelerating cosmological models in $f(Q)$ gravity and the phase space analysis
• Cosmological constraints on dark energy in $f(Q)$ gravity: A parametrized perspective
• Constrained evolution of effective equation of state parameter in non-linear $f(R,L_m)$ dark energy model: Insights from Bayesian analysis of cosmic chronometers and Pantheon samples
• Study of charged gravastar model in $f(\mathcal{Q})$ gravity
• Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency
• Anisotropic Universe in $f(Q,T)$ gravity, a novel study
• Constraining the cosmological model of modified $f(Q)$ gravity: Phantom dark energy and observational insights
• Gravastar model in Krori-Barua metric under $f(Q)$ gravity
• Constraints on anisotropic properties of the universe in $f(Q,T)$ gravity theory
• Observational constraints on a generalized equation of state model
• A new $f(Q)$ cosmological model with $H(z)$ quadratic expansion
• A model-independent method with phantom divide line crossing in Weyl-type $f(Q,T)$ gravity
• Observational Constraints on Hybrid Scale Factor in f(Q,T) Gravity with Anisotropic Space-Time
• Quintessence-like features in the late-time cosmological evolution of $f(Q)$ symmetric teleparallel gravity
• Modified cosmology in $f(Q,L_m)$ gravity
• Joint Constraints on the Hubble Constant, Spatial Curvature, and Sound Horizon from the Late-time Universe with Cosmography
• Bouncing behavior in $f(R,L_m)$ gravity: Phantom crossing and energy conditions
• Signature flips in time-varying $\Lambda (t)$ cosmological models with observational data
• Energy conditions in $f(Q,L_m)$ gravity
• 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
• The ''Telephone Game'' Effect in Modern Gravity Research
• Diagnostic Approaches for Interacting generalized holographic Ricci Dark Energy Models
• Probing symmetric teleparallel gravity in the early universe
• Quintessence like behavior of symmetric teleparallel dark energy: Linear and nonlinear model
• The Universe according to DESI results
• Cosmologies in $f(R,{\mathcal{L}}_m)$ theory with non-minimal coupling between geometry and matter
• Static, Cylindrically Symmetric Spacetimes in the Coincident f(Q) Gravity
• Dust matter cosmology in modified symmetric teleparallel $f(Q,T)$ gravity