The dynamical behavior of $f(T)$ theory

TL;DR

This paper investigates the dynamical properties of the $f(T)$ gravity theory, demonstrating its ability to produce a realistic cosmic evolution with stable and unstable phases, including a late-time accelerated expansion.

Contribution

It provides a detailed dynamical analysis of a specific $f(T)$ model, revealing its stable de Sitter attractor and evolution from radiation to matter and dark energy dominated phases.

Findings

Stable de Sitter phase identified

Universe transitions from radiation to matter to accelerated expansion

Model supports realistic cosmic evolution without dark energy

Abstract

Recently, a new model obtained from generalizing teleparallel gravity, named $f(T)$ theory, is proposed to explain the present cosmic accelerating expansion with no need of dark energy. In this paper, we analyze the dynamical property of this theory. For a concrete power law model, we obtain that the dynamical system has a stable de Sitter phase along with an unstable radiation dominated phase and an unstable matter dominated one. We show that the Universe can evolve from a radiation dominated era to a matter dominated one, and finally enter an exponential expansion phase.