We present an analysis of an f(T,T) extension of the Teleparallel Equivalent of General Relativity, where T denotes the torsion and T the trace of the energy-momentum tensor. This extension includes non--minimal couplings between torsion and matter. In particular, we construct two specific models that recover the usual continuity equation, namely, f(T,T)=T+g(T) and f(T,T)=T×g(T). We then constrain the parameters of each model by fitting the predicted distance modulus to that measured from type Ia supernovae, and find that both models can reproduce the late--time cosmic acceleration. We also observe that one of the models satisfies well the observational constraints and yields a goodness--of--fit similar to the ΛCDM model, thus demonstrating that f(T,T) gravity theory encompasses viable models that can be an alternative to ΛCDM.
@article{arxiv.1603.09670,
title = {Constraining $f(T, \mathcal{T})$ gravity models using type Ia supernovae},
author = {Diego Saez-Gomez and C. Sofia Carvalho and Francisco S. N. Lobo and Ismael Tereno},
journal= {arXiv preprint arXiv:1603.09670},
year = {2016}
}