Stability analysis of anisotropic Bianchi type-I cosmological model in teleparallel gravity

Abstract

In this work, we study a cosmological model of Bianchi type-I Universe in teleparallel gravity for a perfect fluid. To obtain the cosmological solution of the model, we assume that the deceleration parameter is a linear function of the Hubble parameter $H$ i.e. $q=-1+\beta H$ (where $\beta$ as a positive constant). Consequently, we get a model of our Universe, where it goes from the initial phase of deceleration to the current phase of acceleration. We have discussed some physical and geometric properties such as Hubble parameter, deceleration parameter, energy density, pressure, and equation of state (EoS) parameter and study their behavior graphically in terms of redshift and compare it with observational data such as Type Ia supernovae (SNIa). We also discussed the behavior of other parameters such as the Jerk parameter, Statefinder parameters and we tested the validity of the model by studying the stability analysis and energy conditions.

14 pages, 5 figures, this version is under revision in Classical and Quantum Gravity

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Cited by in corpus (8)

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• Constraining the cosmological model of modified $f(Q)$ gravity: Phantom dark energy and observational insights
• Stability analysis of f(Q) gravity models using dynamical systems
• Bulk viscous fluid in extended symmetric teleparallel gravity
• Barrow holographic dark energy models in $f\left(Q\right)$ symmetric teleparallel gravity with Lambert function distribution
• 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
• Investigating the compatibility of exact solutions in Weyl-type $f(Q,T)$ gravity with observational data