Cosmological Solutions in 2+1 Dimensional New Massive Gravity in the presence of the Dirac field

TL;DR

This paper explores cosmological solutions in 2+1 dimensional New Massive Gravity coupled with a Dirac field, revealing inflationary and oscillatory universe phases where the Dirac field acts as dark energy.

Contribution

It introduces cosmological solutions in 2+1D New Massive Gravity with a Dirac field, utilizing Noether symmetry to determine the self-interaction potential.

Findings

Cosmological solutions include inflationary and oscillatory phases.

The Dirac field behaves like dark energy during these epochs.

The self-interaction potential is derived from Noether symmetry.

Abstract

In this paper, we consider $2+1$ 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 form obtained by the existence of Noether symmetry. In this context, we obtain cosmological solutions that corresponds to inflationary as well as the oscillationary epochs of the universe. Moreover, we have seen that the Dirac field behaves like a dark energy in these epochs of the universe.