Attractor behaviour in ELKO cosmology

Abstract

We study the dynamics of ELKO in the context of accelerated phase of our universe. To avoid the fine tuning problem associated with the initial conditions, it is required that the dynamical equations lead to an early-time attractor. In the earlier works, it was shown that the dynamical equations containing ELKO fields do not lead to early-time stable fixed points. In this work, using redefinition of variables, we show that ELKO cosmology admits early-time stable fixed points. More interestingly, we show that ELKO cosmology admit two sets of attractor points corresponding to slow and fast-roll inflation. The fast-roll inflation attractor point is unqiue for ELKO as it is independent of the form of the potential. We also discuss the plausible choice of interaction terms in these two sets of attractor points and constraints on the coupling constant.

13 pages, 1 figure

References in corpus (7)

• Vector Inflation
• The Einstein-Cartan-Elko system
• The Einstein-Elko system -- Can dark matter drive inflation?
• Spinor Dark Energy and Cosmological Coincidence Problem
• Super-inflation in Loop Quantum Cosmology
• From Dirac Action to ELKO Action
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• Bilinear Covariants and Spinor Fields Duality in Quantum Clifford Algebras
• Evading Weinberg's no-go theorem to construct mass dimension one fermions: Constructing darkness
• Spinor Fields Classification in Arbitrary Dimensions and New Classes of Spinor Fields on 7-Manifolds
• 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
• Elko and mass dimension one field of spin one half: causality and Fermi statistics
• Some remarks on the attractor behaviour in ELKO cosmology
• Onset of acceleration in a Universe initially filled by dark and baryonic matters in nonminimally coupled teleparallel model
• 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
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• Non-standard Dirac equations for non-standard spinors
• Generalized Elko Theory
• Spin-1/2 "bosons'' with mass dimension 3/2 and fermions with mass dimension 1 cannot represent physical particle states