Conformally-coupled dark spinor and FRW universe

Abstract

We study conformal coupling of dark spinor fields to gravity and calculate the energy density and the pressure of the spinor in FRW spacetime. We consider the renormalizable potential of the spinor field. In the cases where the field is proportional to some power of the cosmic scale factor $a(t)$, we determine the Hubble parameter as a function of the scale factor and find analytic solutions for $a(t)$ when the spinor field matter dilutes as the universe expands. We discuss the possibility that both matter- and dark energy-dominated eras of our universe can be described by the dark spinor.

4 pages, Revised argument in section III, results unchanged. To be published in PRD

References in corpus (6)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Dark spinor inflation -- theory primer and dynamics
• Spinor Dark Energy and Cosmological Coincidence Problem
• Noether symmetry for non-minimally coupled fermion fields
• Lorentz invariant dark-spinor and inflation
• De-Sitter nonlinear sigma model and accelerating universe

Cited by in corpus (6)

• Mass dimension one fermions: Constructing darkness
• Elko and mass dimension one field of spin one half: causality and Fermi statistics
• Dark spinor model with torsion and cosmology
• On a local mass dimension one Fermi field of spin one-half and the theoretical crevice that allows it
• Degeneracy pressure of mass dimension one fermionic fields and the dark matter halo of galaxies
• Interaction of the axionic dark matter, dynamic aether, spinor and gravity fields as an origin of oscillations of the fermion effective mass