# Constraining f(T) gravity by dynamical system analysis

## TL;DR

This paper uses dynamical system analysis to explore cosmological solutions in $f(T)$ gravity, identifying conditions for standard cosmology and examining specific models including power laws and inflation scenarios.

## Contribution

It introduces a systematic dynamical systems approach to constrain $f(T)$ gravity models and assesses their viability for cosmological evolution.

## Key findings

- Power law $f(T)= B(-T)^eta$ requires $eta<1$ and $eta
eq 1/2$ for consistency.
- Certain $f(T)$ forms can reproduce standard cosmological history.
- The study explores inflationary solutions within $f(T)$ gravity.

## Abstract

We investigate the cosmological solutions of the $f(T)$ gravity theory using the method of dynamical systems. For this purpose a general form of the $f(T)$ function is considered and four conditions are defined that they have to satisfy in order to describe the standard cosmological history. We examine the power law, and another form of $f(T)$ against these conditions. For a power law function $f(T)= B(-T)^\beta$, $\beta$ must be less than one and unequal to $\frac{1}{2}$ to obtain a consistent cosmological model. We also investigate a model of inflation in this theory.