Cosmological Solutions in 2 + 1-Dimensional New Massive Gravity in the Presence of the Dirac Field

Abstract

We consider a 2 + 1-dimensional gravitational theory including a Dirac field that is minimally coupled to New Massive Gravity. We investigate cosmological solutions of the field equations by using the self-interaction potential obtained by the existence of Noether symmetry. In this context, we obtain cosmological solutions that correspond to inflationary as well as the oscillatory epochs of the universe. Moreover, we observe that the Dirac field behaves like dark energy in these epochs of the universe.