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Dynamical Stability Analysis of Accelerating f(T) Gravity Models

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arxiv 2202.08150 v2 pith:HA5DAOOA submitted 2022-02-15 gr-qc hep-th

L.K. Duchaniya , Santosh V Lohakare , B. Mishra , S.K. Tripathy This is my paper · ORCID
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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.

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  1. $f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom

    gr-qc 2025-02 conditional novelty 6.0 of 10

    By perturbing f(T) gravity around FLRW and Bianchi I spacetimes, the authors find that only the two gravitational-wave polarizations propagate in the gravity sector.

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