Observational Constraints on $f(T)$ Gravity from Model-Independent Data

TL;DR

This paper uses diverse cosmological data, including galaxy clusters, BAO, CMB, and supernovae, to set new observational constraints on $f(T)$ gravity models, and forecasts future improvements from upcoming surveys.

Contribution

It provides the first comprehensive, model-independent constraints on $f(T)$ gravity using multiple cosmological data sets and forecasts future constraints with upcoming surveys.

Findings

Current data tightly constrain $f(T)$ model parameters.

Future surveys like J-PAS and Euclid will significantly improve these constraints.

Results favor models close to the $ ext{Lambda}$CDM scenario.

Abstract

We establish new constraints on $f(T)$ gravity models by using cosmological data. In particular, we investigate the restrictions given by the gas mass fraction measurements of galaxy clusters and transversal BAO data. Both data sets are regarded as weakly dependent on a fiducial cosmology. In addition, we also include a CMB measurement of the temperature power spectrum first peak, along with $H(z)$ values from cosmic chronometers and supernovae data from the Pantheon data set. We also perform a forecast for future constraints on the deviation of $f(T)$ models from the $\Lambda$CDM scenario by following the specifications of the J-PAS and Euclid surveys and find significant improvements on the constraints of the $b$-parameter, when compared to the results of the statistical analysis.