Dynamical stability analysis of accelerating f(T) gravity models

Abstract

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.

Gaussian Processes and Effective Field Theory of f(T) Gravity under the H 0 Tension

“…Alternatively, if we start from the teleparallel equivalent of general relativity (De Andrade et al 2000;Unzicker & Case 2005;Aldrovandi & Pereira 2013;Krssak et al 2019), we will obtain a family of torsion-based modified gravity (Cai et al 2016b;Krššák & Saridakis 2016). These torsional gravities provide new possible mechanisms for cosmological observations, such as inflation and accelerated expansion, and are highly considered and widely studied (Cai et al 2011;Capozziello et al 2011;Chen et al 2011;Bahamonde et al 2015Bahamonde et al , 2019Bahamonde et al , 2020Bahamonde et al , 2022Hohmann et al 2017;Golovnev & Koivisto 2018;Xu et al 2018;Ren et al 2021b;Bahamonde et al 2021;Jiménez et al 2021;Santos et al 2021Santos et al , 2021Duchaniya et al 2022;Li & Zhao 2022;. It is worth noting that these modifications are efficient under confrontation with galaxyscale observations too (Chen et al 2020;Pfeifer & Schuster 2021).…”

Teleparallel scalar-tensor gravity through cosmological dynamical systems

“…The Friedmann equations in Eqs. (37,38) and Klein-Gordon equation in Eq. ( 39) directly lead to a set of autonomous equations for each of the models under investigation.…”

“…The division of the torsion scalar and boundary term means that a weaker Lovelock theorem is developed [27][28][29] where much more general theories that are second order can be produced such as f (T ) gravity [25]. f (T ) theories of gravity [30][31][32][33][34][35][36][37][38] emerged using the same rationale as f ( R) gravity [15,19,20] where the TEGR Lagrangian is generalized to an arbitrary function of the torsion scalar. These theories are generically second order and have shown promise in meeting some observational challenges in the literature [24,[39][40][41][42][43].…”

Matter Bounce Scenario in Extended Symmetric Teleparallel Gravity

“…We shall undertake the scalar perturbation analysis to discuss the stability behaviour of the reconstructed bouncing scenario model in f (Q) gravity. We shall adhere to the linear homogeneous and isotropic perturbation and will describe the perturbation of energy density and Hubble parameter [49][50][51]. The first order perturbation in the FLRW background with the perturbation geometry functions δ(t) and matter functions δ m (t) can be expressed as,…”