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.

7 pages, no figure, the version accepted for publication in The European Physical Journal C

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Cited by in corpus (5)

• Scalar-Tensor Teleparallel Wormholes by Noether Symmetries
• Dynamical symmetries in Brans-Dicke cosmology
• Inflation with teleparallelism: Can torsion generate primordial fluctuations without local Lorentz symmetry?
• Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries
• $O(d,d)$ symmetry in teleparallel dark energy