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

Abstract

In the framework of Einstein-Maxwell-axion theory we consider a static field configuration in the outer zone of a magnetic star. We assume that this field configuration is formed by the following interacting quartet: a spherically symmetric gravitational field of the Reissner-Nordström type, pseudoscalar field, associated with an axionic dark matter, strong intrinsic magnetic field, and axionically induced electric field. Based on the analysis of the solutions to the master equations of the model, we show that the structure of the formed field configuration reveals the following triple effect. First, if the strong magnetic field of the star has the dipole component, the axionic halo around the magnetic star with spherically symmetric gravitational field is no longer spheroidal, and the distortion is induced by the axion-photon coupling; second, due to the distortion of the axionic halo the magnetic field is no longer pure dipolar, and the induced quadruple, octupole, etc., components appear thus redistributing the magnetic energy between the components with more steep radial profiles than the dipolar one; third, the interaction of the axionic and magnetic fields produces the electric field, which inherits their multipole structure. We attract attention to possible applications of the predicted field restructuring to the theory of axionic rotating magnetars.

Nonminimal dyons with regular gravitational, electric and axion fields

“…Keeping in mind the idea of Penrose about the Cosmic Censorship [51], and based on the results of the work [52], we decided that the nonminimal coupling can play the role of such Censor, and have analyzed in this paper the model with nonminimally coupled gravitational, axion and electric fields regular at the center of the axionic dyon. In other words, the presented paper gives us the final detail additional to the series of works [47][48][49][50]. What are the main features of this analysis?…”

“…Since not only the axion-photon coupling can produce the electric field, we need to predict the existence of a distinctive feature, which is the undeniable attribute of the axionic influence. In the series of papers [47][48][49][50] we elaborated the idea, that the field configuration, typical for the electric layer, in the near zone of the axionic dyon could be such a distinctive feature. Indeed, if there is a domain in the dyon vicinity, in which the electric field changes the sign, one can try to find the corresponding imprints in the object spectrum.…”

“…Indeed, if there is a domain in the dyon vicinity, in which the electric field changes the sign, one can try to find the corresponding imprints in the object spectrum. Elaborating this idea we studied, first of all, the profiles of the axion, electric and distorted magnetic fields in the outer zone of the dyon, i.e., at r > R > r outer , where R is the radius of the solid body of the magnetic star, and r outer is the radius of the outer horizon of the object (see [47,48]). The analysis of the stepwise distribution of the axion field near the black holes [49] was the next step in this investigation.…”

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

“…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.…”

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

“…The dark matter forms specific cosmological units: halos, sub-halos, filaments, walls, the structure of which admits the recognition of the type of the corresponding central elements. We assume that compact relativistic objects with strong gravitational and electromagnetic fields distort the axionic fraction of the dark matter halos, which surround them (see, e.g., [26,27] for details). For instance, when the magnetic field of the star possesses the dipolar component, the axionic halo is no longer spherically symmetric and is characterized by dipole, quadruple, etc.…”