Cosmological model with non-minimally coupled fermionic field

Abstract

A model for the Universe is proposed whose constituents are: (a) a dark energy field modeled by a fermionic field non-minimally coupled with the gravitational field, (b) a matter field which consists of pressureless baryonic and dark matter fields and (c) a field which represents the radiation and the neutrinos. The coupled system of Dirac's equations and Einstein field equations is solved numerically by considering a spatially flat homogeneous and isotropic Universe. It is shown that the proposed model can reproduce the expected red-shift behaviors of the deceleration parameter, of the density parameters of each constituent and of the luminosity distance. Furthermore, for small values of the red-shift the constant which couples the fermionic and gravitational fields has a remarkable influence on the density and deceleration parameters.

Accepted for publication in Europhysics Letters

References in corpus (3)

• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Dark energy interacting with neutrinos and dark matter: a phenomenological theory
• An Exact Cosmological Solution of the Coupled Einstein-Majorana Fermion-Scalar Field Equations

Cited by in corpus (2)

• Dark Energy Model with Spinor Matter and Its Quintom Scenario
• Noether symmetry for non-minimally coupled fermion fields