Dynamical stability analysis of accelerating f(T) gravity models

In this paper, we have emphasized the stability analysis of the accelerating cosmological models obtained in f(T) gravity theory. The behaviour of the models based on the evolution of the equation of state parameter shows phantom-like behaviour 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.

Automated summary

In this paper, the stability analysis of accelerating cosmological models obtained in f(T) gravity theory is emphasized. The phantom-like behavior of the models at the present epoch is observed based on the evolution of the equation of state parameter. Perturbation technique and dynamical system analysis are used to demonstrate the stability and critical points of the models. In each of the two specific f(T) gravity models, at least one stable critical point is observed.