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+βH (where β 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.

Bulk viscous fluid in extended symmetric teleparallel gravity

“…In the literature, there are many alternatives to GR that attempt to explain this problem [5][6][7]. The most popular alternative currently proposed are modified gravity theories such as f (R) gravity, where f (R) is an arbitrary function of the Ricci scalar R. Several models have been studied in framework of f (R) gravity in var-ious cosmological contexts [8][9][10].…”

A New Parametrization of Hubble Parameter in f(Q)$f(Q)$ Gravity

“…In GR, the Levi‐Civita connection is associated with curvature, but zero torsion, while in teleparallelism, the Weitzenbock connection is associated with torsion, but zero curvature. [ 21 ] In the same way, the $$f(T)$$ gravity is the simplest modification of TEGR. Recently, a new theory of gravity has been proposed called the symmetric teleparallel equivalent of GR (STEGR), in which the gravitational interactions are described by the concept of non‐metricity Q with zero torsion and curvature.…”

“…The fundamental concept in GR is the curvature imported from Riemannian geometry which is described by the Ricci scalar R. The modified f (R) gravity is a simple modification of GR, replacing the Ricci scalar R with some general function of R. [20] Furthermore, there are other alternatives to GR such as the teleparallel equivalent of GR (TEGR), in which the gravitational interactions are described by the concept of torsion T. In GR, the Levi-Civita connection is associated with curvature, but zero torsion, while in teleparallelism, the Weitzenbock connection is associated with torsion, but zero curvature. [21] In the same way, the f (T) gravity is the simplest modification of TEGR. Recently, a new theory of gravity has been proposed called the symmetric teleparallel equivalent of GR (STEGR), in which the gravitational interactions are described by the concept of non-metricity Q with zero torsion and curvature.…”

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

“…In general, MGT appears to be quite appealing since it provides subjective solutions to a number of key problems concerning DE. An alternative theory to GR is teleparallel gravity by which gravitational interaction is described by the torsion scalar T [8][9][10] in a space-time with zero curvature. This theory is named teleparallel equivalent to general relativity (TEGR) and formulated by tetrad fields on the tangent space in the Weitzenbock connection which is different from the Levi-Civita connection in GR.…”