Singularity Problem in Teleparallel Dark Energy Models

TL;DR

This paper investigates the potential for future singularities in teleparallel dark energy models, analyzing their behavior and observational constraints, and finds that viable models are unlikely to encounter singularities.

Contribution

It provides an analytic study of singularity behavior in teleparallel dark energy models and assesses their occurrence within observationally constrained parameter regions.

Findings

Singularities are outside the 3σ observational constraints.

Analytic solutions describe dark energy behavior near singularities.

Viable models do not suffer from future singularities.

Abstract

We study future singularity in teleparallel dark energy models, particularly its behavior and its (non)occurrence in the observationally viable models. For the models with a general self-potential of the scalar field, we point out that both at early times and in the future near the singularity the behavior of dark energy can be described by the analytic solutions of the scalar field we obtained for the model with no self-potential. As to the (non)occurrence in the viable models, we consider a natural binding-type self-potential, the quadratic potential, when fitting observational data, and illustrate the constraining region up to the $3\sigma$ confidence level as well as the region where a singularity will occur. As a result, the singularity region is outside the $3\sigma$ constraint. Thus, although the future singularity problem potentially exists in teleparallel dark energy models, the observationally viable models may not suffer this problem.