Stability analysis for cosmological models in $f(T,B)$ gravity

TL;DR

This paper investigates the stability and dynamics of cosmological solutions in $f(T,B)$ gravity using dynamical system analysis, identifying critical points consistent with late-time universe observations.

Contribution

It introduces three specific $f(T,B)$ gravity models and analyzes their phase space to understand their cosmological viability.

Findings

Identification of hyperbolic critical points compatible with observations

General solutions for the proposed $f(T,B)$ models

Phase space trajectories illustrating late-time behavior

Abstract

In this paper we study cosmological solutions of the $f(T,B)$ gravity using dynamical system analyses. For this purpose we consider cosmological viable functions of $f(T,B)$ that are capable of reproducing the dynamics of the Universe. We present three specific models of $f(T,B)$ gravity which have a general form of the solutions by writing the equations of motion as an autonomous system. Finally, we study its hyperbolic critical points and general trajectories in the phase space of the resulting dynamical variables which are compatible with the current late-time observations.