Torsion gravity with nonminimally coupled fermionic field: Some cosmological models

We investigate some cosmological models arising from a nonminimal coupling of a fermionic field to gravity in the geometrical setting of Einstein-Cartan-Sciama-Kibble gravity. In the presence of torsion, we discuss the role played by the nonminimal coupling together with fermionic self-interaction potentials in facing problems such as cosmological singularity, inflation, and dark energy.