Teleparallel dark energy model with a fermionic field via Noether symmetry

TL;DR

This paper develops a teleparallel gravity model with a fermionic field non-minimally coupled to gravity, using Noether symmetry to determine the coupling and potential, and shows the fermionic field can act as dark energy.

Contribution

It introduces a novel teleparallel dark energy model with a fermionic field and employs Noether symmetry to derive specific forms of coupling and potential functions.

Findings

Fermionic field acts as dark energy in the model.

Noether symmetry determines linear and power-law forms of potential and coupling.

Exact cosmological solutions are obtained.

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.