2013/06/30 by Chao-Qiang Geng, Je-An Gu, Chung-Chi Lee · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Constraint (computer-aided design) #Cosmology #Cosmology and Gravitation Theories #Dark energy #Galaxies: Formation, Evolution, Phenomena #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Sigma #Singularity #Theoretical physics #astro-ph.CO #gr-qc
paper · pdf · doi:10.1103/physrevd.88.024030
published as Phys. Rev. D88, 024030 (2013) · 12 pages, 6 figures, revised version accepted by PRD
arxiv created 2013/07/11 · openalex publication_date 2013/07/18 · arxiv updated 2013/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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\ensuremathσ confidence level as well as the region where a singularity will occur. As a result, the singularity region is outside the 3\ensuremathσ constraint. Thus, although the future singularity problem potentially exists in teleparallel dark energy models, the observationally viable models may not suffer this problem.