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.
Keywords
Cite
@article{arxiv.0710.5155,
title = {Cosmological model with non-minimally coupled fermionic field},
author = {M. O. Ribas and F. P. Devecchi and G. M. Kremer},
journal= {arXiv preprint arXiv:0710.5155},
year = {2008}
}
Comments
Accepted for publication in Europhysics Letters