2007/10/26 by M. O. Ribas, F. P. Devecchi, G. M. Kremer · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1209/0295-5075/81/19001
published as Europhys.Lett.81:19001,2008 · Accepted for publication in Europhysics Letters
arxiv created 2007/10/26 · arxiv updated 2009/12/01
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.