Conformal Gravity with the most general ELKO Matter

Abstract

Recently we have constructed the conformal gravity with metric and torsion, finding the gravitational field equations that give the conservation laws and trace condition; in the present paper we apply this theory to the case of ELKO matter field, proving that their spin and energy densities once the matter field equations are considered imply the validity of the conservation laws and trace condition mentioned above.

5 pages

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• Localization of 5D Elko Spinors on Minkowski Branes
• MGD Dirac stars
• 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
• ELKO and Dirac Spinors seen from Torsion
• Elko and mass dimension one field of spin one half: causality and Fermi statistics
• Dark spinor model with torsion and cosmology
• On coincidence problem and attractor solutions in ELKO dark energy model
• Nonlinear Spinor Fields in Bianchi type-I spacetime: Problems and Possibilities
• Nonlinear Spinor field in isotropic space-time and dark energy models
• Cosmological Models Based on a Statistical System of Scalar Charged Degenerate Fermions and an Asymmetric Higgs Scalar Doublet
• Opening the Pandora's box of quantum spinor fields
• Similarity of cosmological models and its application to the analysis of cosmological evolution
• Non-minimally coupled nonlinear spinor field in FRW cosmology
• Nonlinear Spinor Fields in Bianchi type-VI spacetime
• Nonlinear Spinor Fields in Bianchi type-$V{I}_0$ spacetime
• The role of singular spinor fields in a torsional gravity, Lorentz-violating, framework
• Non-minimally coupled nonlinear spinor field in Bianchi type-I cosmology
• Hearing the shape of inequivalent spin structures and exotic Dirac operators
• Nonlinear Spinor Fields in Bianchi type-III spacetime
• The Heisenberg spinor field classification and its interplay with the Lounesto's classification
• Metric Solutions in Torsionless Gauge for Vacuum Conformal Gravity
• Spinors in cylindrically symmetric space-time
• Dark matter, Elko fields and Weinberg's quantum field theory formalism
• Spinor field in Bianchi type-$IX$ space-time
• New constrained generalized Killing spinor field classes in warped flux compactifications
• Nonlinear Spinor Fields in LRS Bianchi type-I spacetime: Theory and observation
• Elko Field Theory and the Nature of Elko Darkness