The Einstein-Elko system -- Can dark matter drive inflation?

Abstract

Recently, a spin one half matter field with mass dimension one was discovered, called Elko spinors. The present work shows how to introduce these fields into a curved spacetime by the standard covariantisation scheme. After formulating the coupled Einstein-Elko field equations, the spacetime is assumed to be homogeneous and isotropic in order to simplify the resulting field equations. Analytical ghost Elko solutions are constructed which have vanishing energy-momentum tensor without and with cosmological constant. The cosmological Elko theory is finally related to the standard scalar field theory with self interaction that gives rise to inflation and it is pointed out that the Elko spinors are not only prime dark matter candidates but also prime candidates for inflation.

24 pages

References in corpus (11)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Spin half fermions with mass dimension one: theory, phenomenology, and dark matter
• Dark matter: A spin one half fermion field with mass dimension one?
• Where are ELKO Spinor Fields in Lounesto Spinor Field Classification?
• Shortcuts to high symmetry solutions in gravitational theories
• The Einstein-Cartan-Elko system
• The Principle of Symmetric Criticality in General Relativity
• Shortcuts to Spherically Symmetric Solutions: A Cautionary Note
• The Spherically Symmetric Standard Model with Gravity

Cited by in corpus (47)

• Dynamical systems applied to cosmology: dark energy and modified gravity
• CMB Anisotropies and Inflation from Non-Standard Spinors
• Dynamics of Teleparallel Dark Energy
• Elko as self-interacting fermionic dark matter with axis of locality
• 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
• Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
• Dark energy with dark spinors
• Dynamical dispersion relation for ELKO dark spinor fields
• Very special relativity as relativity of dark matter: the Elko connection
• Exotic Dark Spinor Fields
• Exploring Elko typical signature
• A modified theory of gravity with torsion and its applications to cosmology and particle physics
• The most general cosmological dynamics for ELKO Matter Fields
• An Identification of the Dirac Operator with the Parity Operator
• Conformal Gravity with the most general ELKO Matter
• From Dirac Action to ELKO Action
• Lorentz invariant dark-spinor and inflation
• The quadratic spinor Lagrangian, axial torsion current, and generalizations
• Zero Energy of Plane-Waves for ELKOs
• Causal propagation for ELKO fields
• Exact solutions to Elko spinors in spatially flat Friedmann-Robertson-Walker spacetimes
• On the bilinear covariants associated to mass dimension one spinors
• A new approach on the stability analysis in ELKO cosmology
• Constraints on mass dimension one fermionic dark matter from the Yukawa interaction
• ELKO fermions as dark matter candidates
• 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
• Modified scalar and tensor spectra in spinor driven inflation
• On coincidence problem and attractor solutions in ELKO dark energy model
• The most general ELKO Matter in torsional f(R)-theories
• What-if inflaton is a spinor condensate?
• Attractor behaviour in ELKO cosmology
• Causality for ELKOs
• Some remarks on the attractor behaviour in ELKO cosmology
• On a local mass dimension one Fermi field of spin one-half and the theoretical crevice that allows it
• Spin-half mass dimension one fermions and their higher-spin generalizations
• A Supersymmetric Lagrangian for Fermionic Fields with Mass Dimension One
• Degeneracy pressure of mass dimension one fermionic fields and the dark matter halo of galaxies
• Symmetries and unitary interactions of mass dimension one fermionic dark matter
• Mass dimension one fermions and their gravitational interaction
• Non-standard Dirac equations for non-standard spinors
• Generalized Elko Theory
• Dark matter, Elko fields and Weinberg's quantum field theory formalism