Teleparallel dark energy model with a fermionic field via Noether symmetry

Understand

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.