Axion electrodynamics and dark matter fingerprints in the terrestrial magnetic and electric fields

TL;DR

This paper explores how relic axions, as dark matter candidates, influence Earth's magnetic and electric fields through axion electrodynamics, revealing unique oscillation patterns and field configurations.

Contribution

It introduces axionic analogs of Debye potentials and provides exact solutions for axion-electromagnetic field interactions in Earth's spherical environment.

Findings

Identification of axion-induced electric and magnetic oscillations.

Discovery of longitudinal electromagnetic clusters caused by axion-photon coupling.

Mathematical modeling of axion effects on terrestrial electromagnetic fields.

Abstract

We consider mathematical aspects of the axion electrodynamics in application to the problem of evolution of geomagnetic and terrestrial electric fields, which are coupled by relic axions born in the early Universe and (hypothetically) forming now the cold dark matter. We find axionic analogs of the Debye potentials, well-known in the standard Faraday - Maxwell electrodynamics, and discuss exact solutions to the equations of the axion electrodynamics describing the state of axionically coupled electric and magnetic fields in a spherical resonator Earth-Ionosphere. We focus on the properties of the specific electric and magnetic oscillations, which appeared as a result of the axion-photon coupling in the dark matter environment. We indicate such electric and magnetic field configurations as longitudinal electro-magnetic clusters.