Testing Viable f(T) Models with Current Observations

Abstract

We perform observational tests on the f(T) gravity with the BAO data (including the BOSS DR 12 galaxy sample, the DR12 Lyα-Forests measurement, the new eBOSS DR14 quasar sample, the 6dFGS, and the SDSS), the CMB distance priors from the Planck 2015, the SNIa data from the joint light-curve analysis, the latest H(z) data, and the local value of the Hubble constant. Six different f(T) models are investigated. Furthermore, the ΛCDM is also considered. All models are compared by using the Akaike information criteria (AIC) and the Bayesian information criteria (BIC). Our results show that the ΛCDM remains to be the most favored model by current observations. However, there are also the Hubble constant tension between the Planck measurements and the local Universe observations and the tension between the CMB data and the H(z) data in the ΛCDM. For f(T) models considered in this paper, half, which can reduce to the ΛCDM, have values of smaller than that of the ΛCDM and can relieve the tensions existing in the ΛCDM. However, they are punished slightly by the BIC due to one extra parameter. Two of six f(T) models, in which the crossing of the phantom divide line can be realized for the equation of state of the effective dark energy and this crossing is shown in this paper to be favored by current observations, are punished by the information criteria. In addition, we find that the logarithmic f(T) model is excluded by cosmological observations.

Updated constraints on f(T) models using direct and indirect measurements of the Hubble parameter

“…Lastly, our constraints for f 1 CDM and f 2 CDM models are in very good agreement with those of and Xu et al [65] who combined SNIa/H(z)BAO/CMB shi f t data. Concerning f 3 CDM model our best fit value for b is somewhat lower with that of [65]. Specifically, these authors found: Finally, in order to give the reader the opportunity to appreciate the new results of our study we conclude this section with a brief discussion regarding our new and novel statistical results.…”

“…Specifically, these authors found: Finally, in order to give the reader the opportunity to appreciate the new results of our study we conclude this section with a brief discussion regarding our new and novel statistical results. Although, our observational constraints are in qualitative agreement with previous studies on f (T ) gravity [56][57][58][59][60][62][63][64][65], we would like to spell out clearly the reasons of which our analysis improves the observational constraints of f (T ) models with respect to previous studies. Firstly, we include for the first time the covariance matrix of H(z) data in f (T ) models, and we utilize at the same time the recently proposed statistical method of [68], which is not affected by the Hubble constant problem.…”

H 0 Tension and the Phantom Regime: A Case Study in Terms of an Infrared f(T) Gravity

“…Thanks to the nice feature of the f (T ) theory being its field equations second order; currently there are viable f (T ) theories of gravity which give good results with a wide range of cosmological observations Nunes et al (2016); Xu et al (2018); Nunes (2018). In the following sections, we focus on a specific model with IR torsional gravity which is in principle an alternative to phantom dark energy.…”

The effective field theory approach of teleparallel gravity, f(T) gravity and beyond

“…One may use cosmological observations of the background level to extract the constraints on the model parameter p [71][72][73][74][75]. However, in the present work we are interested in examining whether it is possible to constrain p using the post-Newtonian observations and the perturbation analysis of the previous section.…”