The (2+1) dimensional metric f (R) gravity nonminimally coupled with fermion field

Abstract

In this article, we examine a gravitational theory including a fermion field that is non-minimally coupled to metric f(R) gravity in (2+1) dimensions. We give the field equations for fermion fields and Friedmann equations. In this context, we study cosmological solutions of the field equations using these forms obtained by the existent of Noether symmetry.