Lorentz invariant dark-spinor and inflation

Abstract

We investigate the possibility of the inflation driven by a Lorentz invariant non-standard spinor field. As these spinors are having dominant interaction via gravitational field only, they are considered as \emph{Dark Spinors}. We study how these dark-spinors can drive the inflation and investigate the cosmological (scalar) perturbations generated by them. Though the dark-spinors obey a Klein-Gordon like equation, the underlying theory of the cosmological perturbations is far more complex than the theories which are using a canonical scalar field. For example the sound speed of the perturbations is not a constant but varies with time. We find that in order to explain the observed value of the spectral-index $n_s$ one must have upper bound on the values of the background NSS-field. The tensor to scalar ratio remains as small as that in the case of canonical scalar field driven inflation because the correction to tensor spectrum due to NSS is required to be very small. In addition we discuss the relationship of results with previous results obtained by using the Lorentz invariance violating theories.

17 pages no figures (Some typographical errors corrected)

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• Exact solutions to Elko spinors in spatially flat Friedmann-Robertson-Walker spacetimes
• $\Lambda (t)$ cosmology induced by a slowly varying Elko field
• Mass dimension one fermions: Constructing darkness
• A new approach on the stability analysis in ELKO cosmology
• ELKO fermions as dark matter candidates
• From inflation to recent cosmic acceleration: The fermionic Elko field driving the evolution of the universe
• Evolution of the universe driven by a mass dimension one fermion field
• Super-inflation and generation of first order vector perturbations in ELKO
• Elko and mass dimension one field of spin one half: causality and Fermi statistics
• Dark spinor model with torsion and cosmology
• Attractor behaviour in ELKO cosmology
• Some remarks on the attractor behaviour in ELKO cosmology
• Cosmological inflation driven by a scalar torsion function
• Fermions in a Walecka-type cosmology
• Partition function for a mass dimension one fermionic field and the dark matter halo of galaxies
• On a local mass dimension one Fermi field of spin one-half and the theoretical crevice that allows it
• An unified cosmological evolution driven by a mass dimension one fermionic field
• Conformally-coupled dark spinor and FRW universe
• 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