Dynamics of Teleparallel Dark Energy

TL;DR

This paper studies the dynamics of teleparallel dark energy, revealing only dark-energy-dominated de Sitter attractors and highlighting its observational consistency, while noting the absence of scaling attractors.

Contribution

It explores the dynamical behavior of teleparallel dark energy and uncovers its attractor structure, connecting it to Elko spinor dark energy and observational data.

Findings

Existence of dark-energy-dominated de Sitter attractors.

No scaling attractors found, even with matter interaction.

Equation of state parameter w matches observations, especially w=-1.

Abstract

Recently, Geng et al. proposed to allow a non-minimal coupling between quintessence and gravity in the framework of teleparallel gravity, motivated by the similar one in the framework of General Relativity (GR). They found that this non-minimally coupled quintessence in the framework of teleparallel gravity has a richer structure, and named it "teleparallel dark energy". In the present work, we note that there might be a deep and unknown connection between teleparallel dark energy and Elko spinor dark energy. Motivated by this observation and the previous results of Elko spinor dark energy, we try to study the dynamics of teleparallel dark energy. We find that there exist only some dark-energy-dominated de Sitter attractors. Unfortunately, no scaling attractor has been found, even when we allow the possible interaction between teleparallel dark energy and matter. However, we note that $w$ at the critical points is in agreement with observations (in particular, the fact that $w=-1$ independently of $\xi$ is a great advantage).