Polarization and stratification of axionically active plasma in a dyon magnetosphere

Abstract

The state of a static spherically symmetric relativistic axionically active multi-component plasma in the gravitational, magnetic and electric fields of an axionic dyon is studied in the framework of the Einstein -Maxwell -Fermi -Dirac -axion theory. We assume that the equations of axion electrodynamics, the covariant relativistic kinetic equations, and the equation for the axion field with modified periodic and Higgs-type potentials are nonlinearly coupled; the gravitational field in the dyon exterior is assumed to be fixed and to be of the Reissner-Nordström type. We introduce the extended Lorentz force, which acts on the particles in the axionically active plasma, and analyze the consequences of this generalization. The analysis of exact solutions, obtained in the framework of this model for the relativistic Boltzmann electron-ion and electron-positron plasmas, as well as, for degenerated zero-temperature electron gas, shows that the phenomena of polarization and stratification can appear in plasma, attracting attention to the axionic analog of the known Pannekoek-Rosseland effect.

Magnetoelectrostatics of axionically active systems: Induced field restructuring in magnetic stars

“…Here and below the prime denote the ordinary derivative with respect to the argument of the function. The equations (17) coincide with the key equations obtained in [27] for the axionic dyon. The corresponding interpretation is based on the following procedure.…”

Fingerprints of the Cosmological Constant: Folds in the Profiles of the Axionic Dark Matter Distribution in a Dyon Exterior

“…Keeping in mind that that there are two specific radii: first, the quantity r Λ = 1 Λ , which relates to the cosmological scale, second, r Q = |Q m |, which is the Reissner-Nordström radius, we see that (28) can be rewritten using the geometric mean value r = x √ r Λ r Q . In terms of the new dimensionless variable x we obtain…”

“…In this work we assume that the potential of the axion field is of the form V (φ) = m 2 A φ 2 . More sophisticated periodic potential is considered in the papers [27,28]. Mention should be made, that we use the system of units, in which c=1, =1, G=1; in this case the dimensionality of the axion mass m A coincides with the one of the inverse length.…”

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

“…4. When we consider a static model, we can use the time-like Killing vector ξ i (0) =δ i 0 , so that its modulus ξ (0) = √ g 00 can play the role of the guiding function (see [28]).…”

“…The third trend is connected with the modeling of axionic structures of different scales, associated with the galactic halos, miniclusters, halos surrounding the magnetars, dyons, etc. (see, e.g., [26][27][28][29]). We have to emphasize, that one of the most influential idea in these new models is the idea of internal self-interaction in the axionic systems.…”