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 $$\Lambda $$Λ 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.

Physical limits on the equation-of-state (EoS) parameter of a dark energy component non-minimally coupled with the dark matter field are examined in light of the second law of thermodynamics and the...