Bouncing solutions in $f(T)$ gravity

TL;DR

This paper investigates the conditions for bouncing and static solutions in curved $f(T)$ gravity cosmology, revealing that bounces are less restricted than in general relativity and analyzing the global dynamics through phase diagrams.

Contribution

It provides a comprehensive analysis of bouncing and static solutions in $f(T)$ gravity, including local conditions and global phase space behavior, which was less explored before.

Findings

Bouncing solutions are less restrictive than in general relativity.

Phase diagrams illustrate the global cosmological dynamics.

Big contracting universes are unlikely to reach bounces.

Abstract

We consider certain aspects of cosmological dynamics of a spatially curved Universe in $f(T)$ gravity. Local analysis allows us to find conditions for bounces and for static solutions; these conditions appear to be in general less restrictive than in general relativity. We also provide a global analysis of the corresponding cosmological dynamics in the cases when bounces and static configurations exist, by constructing phase diagrams. These diagrams indicate that the fate of a big contracting Universe is not altered significantly when bounces become possible, since they appear to be inaccessible by a sufficiently big Universe.