Dynamical Stability Analysis of Accelerating f(T) Gravity Models

TL;DR

This paper analyzes the stability of accelerating cosmological models in $f(T)$ gravity, demonstrating their behavior through perturbation and dynamical system analysis, and identifying stable critical points.

Contribution

It provides a detailed stability analysis of $f(T)$ gravity models using scalar perturbations and dynamical systems, highlighting stable solutions in specific models.

Findings

Models exhibit phantom-like behavior at present epoch

Stable critical points are identified in each model

Dynamical system analysis confirms stability of certain solutions

Abstract

In this paper, we have emphasized the stability analysis of the accelerating cosmological models obtained in $f(T)$ gravity theory. The behavior of the models based on the evolution of the equation of state parameter shows phantom-like behavior at the present epoch. The scalar perturbation technique is used to create the perturbed evolution equations, and the stability of the models has been demonstrated. Also, we have performed the dynamical system analysis for both the models. In the two specific $f(T)$ gravity models, three critical points are obtained in each model. In each model, at least one critical point has been observed to be stable.