Teleparallel dark energy model with a fermionic field via Noether symmetry

Abstract: In the present work, we consider a model with a fermionic field that is non-minimally coupled to gravity in the framework of teleparallel gravity. In order to determine forms of the coupling and potential function of fermionic field for the considered model, we use Noether symmetry approach. By applying this approach, for the Friedman-Robertson-Walker metric, we obtain respective potential and coupling function as a linear and power-law form of the bilinear $\Psi$. Further we search the exact cosmological solution of the model. It is shown that the fermionic field plays role of the dark energy.