Exact solutions to Elko spinors in spatially flat Friedmann-Robertson-Walker spacetimes

Abstract

In this paper we present exact solutions to the so-called Elko spinors for three models of expanding universe, namely the de Sitter, linear and the radiation type evolution. The study was restrict to flat, homogeneous and isotropic Friedmann-Robertson-Walker backgrounds. Starting with an Elko spinor we present the solutions for these cases and compared to the case of Dirac spinors. Besides, an attempt to use Elko spinors as a dark energy candidate in the cosmological context is investigated.

arXiv comment18 pages, section IV of last version removed; section on cosmological application rewritten

References in corpus (16)

• Spin half fermions with mass dimension one: theory, phenomenology, and dark matter
• Dark matter: A spin one half fermion field with mass dimension one?
• CMB Anisotropies and Inflation from Non-Standard Spinors
• Where are ELKO Spinor Fields in Lounesto Spinor Field Classification?
• Dark spinor inflation -- theory primer and dynamics
• Self-interacting Elko dark matter with an axis of locality
• Dark spinor models in gravitation and cosmology
• Dark spinors with torsion in cosmology
• The Einstein-Cartan-Elko system
• The Einstein-Elko system -- Can dark matter drive inflation?
• Spinor Dark Energy and Cosmological Coincidence Problem
• Dark energy with dark spinors
• The most general cosmological dynamics for ELKO Matter Fields
• Lorentz invariant dark-spinor and inflation
• Modified scalar and tensor spectra in spinor driven inflation
• Separation of variables and exact solution of the Klein-Gordon and Dirac equations in an open universe

Cited by in corpus (20)

• VSR symmetries in the DKP algebra: the interplay between Dirac and Elko spinor fields
• $\Lambda (t)$ cosmology induced by a slowly varying Elko field
• Mass dimension one fermions: Constructing darkness
• Questing for Algebraic Mass Dimension One Spinor Fields
• A new approach on the stability analysis in ELKO cosmology
• From inflation to recent cosmic acceleration: The fermionic Elko field driving the evolution of the universe
• Elko and mass dimension one field of spin one half: causality and Fermi statistics
• Effective lagrangian for a mass dimension one fermionic field in curved spacetime
• Creation of Elko particles in asymptotically expanding universe
• Some remarks on the attractor behaviour in ELKO cosmology
• Partition function for a mass dimension one fermionic field and the dark matter halo of galaxies
• An unified cosmological evolution driven by a mass dimension one fermionic field
• Spin-half mass dimension one fermions and their higher-spin generalizations
• Fermionic degeneracy and non-local contributions in flag-dipole spinors and mass dimension one fermions
• Degeneracy pressure of mass dimension one fermionic fields and the dark matter halo of galaxies
• A pilot study on canonical gravity with mass dimension one fermions
• Generalized Elko Theory
• Wigner multiplets in QFT: from Wigner degeneracy to Elko fields
• Hermitian formulation for mass dimension one fermions: Flat and curved space-times
• Wigner multiplets in QFT: dark sector and CPT-violating scenarios