New application of the Killing vector field formalism: Modified periodic potential and two-level profiles of the axionic dark matter distribution

Abstract

We consider the structure of halos of the axionic dark matter, which surround massive relativistic objects with static spherically symmetric gravitational field and monopole-type magneto-electric fields. We work with the model of pseudoscalar field with the extended periodic potential, which depends on additional arguments proportional to the moduli of the Killing vectors; in our approach they play the roles of model guiding functions. The covariant model of the axion field with this modified potential is equipped with the extended formalism of the Killing vector fields, which is established in analogy with the formalism of the Einstein-aether theory, based on the introduction of a unit timelike dynamic vector field. We study the equilibrium state of the axion field, for which the extended potential and its derivative vanish, and illustrate the established formalism by the analysis of two-level axionic dark matter profiles, for which the stage delimiters relate to the critical values of the modulus of the timelike Killing vector field.

arXiv comment12 pages, 5 figures, replaced with revised version published in EPJC

References in corpus (40)

• Axion Cosmology
• Gravity with a dynamical preferred frame
• Bose-Einstein Condensation of Dark Matter Axions
• Axion Cosmology
• Axions as Dark Matter Particles
• Axions : Theory and Cosmological Role
• Black Hole Mergers and the QCD Axion at Advanced LIGO
• Constraining the mass of dark photons and axion-like particles through black-hole superradiance
• The Large-Misalignment Mechanism for the Formation of Compact Axion Structures: Signatures from the QCD Axion to Fuzzy Dark Matter
• Dark Matter Candidates - Axions, Neutralinos, Gravitinos, and Axinos
• Unification of Inflation with Dark Energy in $f(R)$ Gravity and Axion Dark Matter
• Lorentz Violating Inflation
• Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity
• $f(R)$ Gravity Inflation with String-Corrected Axion Dark Matter
• Non-Baryonic Dark Matter in Cosmology
• Dark compact objects: an extensive overview
• Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity
• Coupling the inflaton to an expanding aether
• New solar axion search in CAST with ${}^4$He filling
• Non-minimal coupling of photons and axions
• Propagation of Gravitational Waves in Chern-Simons Axion Einstein Gravity
• Photon-Axion Conversion, Magnetic Field Configuration, and Polarization of Photons
• Axion Searches in the Past, at Present, and in the Near Future
• Einstein-aether gravity: a status report
• Oscillating Chiral Tensor Spectrum from Axionic Inflation
• Quasinormal ringing of black holes in Einstein aether theory
• Spatially Homogeneous Einstein-Aether Cosmological Models: Scalar Fields with a Generalized Harmonic Potential
• The generalized Heun equation in QFT in curved space-times
• Archimedean-type force in a cosmic dark fluid: III. Big Rip, Little Rip and Cyclic solutions
• Archimedean-type force in a cosmic dark fluid: I. Exact solutions for the late-time accelerated expansion
• Archimedean-type force in a cosmic dark fluid: II. Qualitative and numerical study of a multistage Universe expansion
• The Einstein-Maxwell-aether-axion theory: Dynamo-optical anomaly in the electromagnetic response
• Axionic extension of the Einstein-aether theory
• Cosmological Evolution of Einstein-Aether Models with Power-law-like Potential
• On the origin of dark matter axions
• The extended Einstein-Maxwell-aether-axion model: Exact solutions for axionically controlled pp-wave aether modes
• Polarization and stratification of axionically active plasma in a dyon magnetosphere
• Birefringence induced by pp-wave modes in an electromagnetically active dynamic aether
• Einstein-aether theory: Dynamics of relativistic particles with spin or polarization in a Gödel-type universe
• Magneto-electro-statics of axionically active systems: Induced field restructuring in magnetic stars

Cited by in corpus (6)

• Is the axionic dark matter an equilibrium system?
• Towards nonlinear axion-dilaton electrodynamics: How can axionic dark matter mimic dilaton-photon interactions?
• Fingerprints of the cosmological constant: Folds in the profiles of the axionic dark matter distribution in a dyon exterior
• Interaction of the axionic dark matter, dynamic aether, spinor and gravity fields as an origin of oscillations of the fermion effective mass
• Einstein-Yang-Mills-aether theory with nonlinear axion field: Decay of color aether and the axionic dark matter production
• Nonminimal dyons with regular gravitational, electric and axion fields