In this work, we perform a detailed dynamical analysis for the cosmological applications of a nonminimal torsion-matter coupled gravity. Two alternative formalisms are proposed, which enable one to choose between the easier approach for a given problem, and furthermore, we analyze six specific models. In general, we extract fixed points corresponding either to dark-matter dominated, scaling decelerated solutions, or to dark-energy dominated accelerated solutions. Additionally, we find that there is a small parameter region in which the model can experience the transition from the matter epoch to a dark-energy era. These features are in agreement with the observed universe evolution, and make the theory a successful candidate for the description of Nature.
@article{arxiv.1512.06996,
title = {Dynamical system analysis for nonminimal torsion-matter coupled gravity},
author = {Sante Carloni and Francisco S. N. Lobo and Giovanni Otalora and Emmanuel N. Saridakis},
journal= {arXiv preprint arXiv:1512.06996},
year = {2016}
}