Growth of matter perturbations in non-minimal teleparallel dark energy

TL;DR

This paper investigates how matter perturbations grow in non-minimal teleparallel dark energy models, analyzing their stability, cosmological implications, and observational constraints, and finds that non-minimal coupling models are favored over standard quintessence.

Contribution

It introduces a phase-space analysis of non-minimal teleparallel dark energy, exploring stability, late-time attractors, and observational constraints, highlighting the preference for non-minimal coupling scenarios.

Findings

Non-minimal coupling models are favored over standard quintessence.

Dark energy equation of state can cross the phantom divide.

Model comparison favors non-minimal coupling over $ ext{Λ}$CDM.

Abstract

We study the growth rate of matter perturbations in the context of teleparallel dark energy in a flat universe. We investigate the dynamics of different theoretical scenarios based on specific forms of the scalar field potential. Allowing for non-minimal coupling between torsion scalar and scalar field, we perform a phase-space analysis of the autonomous systems of equations through the study of critical points. We thus analyze the stability of the critical points, and discuss the cosmological implications searching for possible attractor solutions at late times. Furthermore, combing the growth rate data and the Hubble rate measurements, we place observational constraints on the cosmological parameters of the models through Monte Carlo numerical method. We find that the scenario with a non-minimal coupling is favoured with respect to the standard quintessence case. Adopting the best-fit results, we show that the dark energy equation of state parameter can cross the phantom divide. Finally, we compare our results with the predictions of the concordance $\Lambda$CDM paradigm by performing Bayesian model selection.