Extension of the Einstein-Dirac-axion-aether theory based on an effective metric with a spinor kernel

Abstract

We consider an axionic extension of the Einstein-Dirac-aether theory, which is based on the spinor modification of the kinetic term of the pseudoscalar field and describes the backreaction of the spinor field on the axionic dark matter. The main instrument of this extension is the effective metric constructed using the aether velocity four-vector and a kernel, which depends on the basic spinor scalar and on the square of the basic spinor pseudoscalar. The periodic potential of the axion field includes a guiding function, which regulates the dynamics of axions and predetermines the properties of their equilibrium states. This guiding function and the kernel of the effective metric, as well, are considered to be functions of the expansion scalar of the aether flow. The master equation for the guiding function is obtained as a consequence of the Lagrangian invariance with respect to the discrete transformations prescribed by the axion field shift symmetry. The self-consistent set of coupled master equations is derived, which includes new source-terms in the modified master equations for the spinor, axion, vector and gravitational fields. Cosmological applications of the extended theory are considered; new exact solutions of these equations are presented for the isotropic homogeneous model of the Universe evolution. Discussion is focused on the mechanism of backreaction of the spinor field on the axionic dark matter evolution.

14 pages, 0 figures

References in corpus (31)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Axion Cosmology
• Gravity with a dynamical preferred frame
• Tensor-scalar gravity and binary-pulsar experiments
• Axion Cosmology
• Einstein-Aether Waves
• Axions as Dark Matter Particles
• Superfluid analogies of cosmological phenomena
• Non-Baryonic Dark Matter in Cosmology
• Spontaneous growth of vector fields in gravity
• On spontaneous scalarization
• Partial accretion in the propeller stage of low mass X-ray binary Aql X--1
• Nonlinear spinor field in cosmology
• Electromagnetism and hidden vector fields in modified gravity theories: spontaneous and induced vectorization
• Non-minimal Einstein-Yang-Mills-Higgs theory: Associated, color and color-acoustic metrics for the Wu-Yang monopole model
• Spontaneous tensorization from curvature coupling and beyond
• Spontaneous scalarization: asymmetron as dark matter
• The onset of spontaneous scalarization in generalised scalar-tensor theories
• Spontaneous growth of spinor fields in gravity
• Spontaneous scalarization of charged black holes in the Scalar-Vector-Tensor theory
• Spontaneous growth of gauge fields in gravity through the Higgs mechanism
• Spontaneous vectorization in the presence of vector field coupling to matter
• Optical metrics and birefringence of anisotropic media
• Nonlinear Spinor field in isotropic space-time and dark energy models
• Stealth spontaneous spinorization of relativistic stars
• Spontaneous color polarization as a modus originis of the dynamic aether
• Lorentz breaking Effective Field Theory and observational tests
• Interaction of the axionic dark matter, dynamic aether, spinor and gravity fields as an origin of oscillations of the fermion effective mass
• Cosmology in theories with spontaneous scalarization of neutron stars
• Isotropic cosmological model with aetherically active axionic dark matter