Cosmic expansion from boson and fermion fields

TL;DR

This paper uses Noether symmetry to derive potentials for boson and fermion fields, resulting in a cosmological model with alternating periods of acceleration and deceleration, explaining cosmic expansion.

Contribution

It introduces a novel approach to determine field potentials via Noether symmetry, enabling exact solutions for a universe with dynamic expansion phases.

Findings

Boson field can mimic dark energy and matter.

Fermion field behaves as standard matter.

Universe exhibits alternating accelerated and decelerated expansion phases.

Abstract

This paper consists in analyzing an action that describes boson and fermion fields minimally coupled to the gravity and a common matter field. The self-interaction potentials of the fields are not chosen a priori but from the Noether symmetry approach. The Noether forms of the potentials allow the boson field to play the role of dark energy and matter and the fermion field to behave as standard matter. The constant of motion and the cyclic variable associated with the Noether symmetry allow the complete integration of the field equations, whose solution produces a Universe with alternated periods of accelerated and decelerated expansion.