2013
DOI: 10.1016/s0034-4877(13)60021-x
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Axion Electrodynamics and Dark Matter Fingerprints in the Terrestrial Magnetic and Electric 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 magne… Show more

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Cited by 20 publications
(20 citation statements)
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“…(see. e.g., [24,27,28,43]). Since the gradient fourvector ∇ k φ contains the longitudinal part U k Dφ ≡ U k U l ∇ l φ, and since the four-vector B i = F * ik U k describes the magnetic induction in the medium, we can consider the pseudoscalar c 4π Dφ as the parameter of axionically induced magnetic conductivity in analogy with the electric conductivity σ.…”
Section: Remark About the Extension Of The Lorentz Forcementioning
confidence: 99%
See 1 more Smart Citation
“…(see. e.g., [24,27,28,43]). Since the gradient fourvector ∇ k φ contains the longitudinal part U k Dφ ≡ U k U l ∇ l φ, and since the four-vector B i = F * ik U k describes the magnetic induction in the medium, we can consider the pseudoscalar c 4π Dφ as the parameter of axionically induced magnetic conductivity in analogy with the electric conductivity σ.…”
Section: Remark About the Extension Of The Lorentz Forcementioning
confidence: 99%
“…There are two constitutive elements in the axion electrodynamics: first, the electromagnetic field with the vector potential A k , second, the pseudoscalar field φ. The simplest Lagrangian of interaction between the pseudoscalar field and photons was intro- * Electronic address: Alexander.Balakin@kpfu.ru † Electronic address: groshevdmitri@mail.ru duced in [24]; its modifications and new applications have been considered in many works (see, e.g., [25][26][27][28]).…”
Section: Introductionmentioning
confidence: 99%
“…We analyzed solutions to the equations of axion electrodynamics for the Earth atmosphere (see 7 ) and for magnetic field in a plane gravitational wave 8 . The effect of anomalous response of magnetized system in the axionic environment on the gravitational wave action is planned to be discussed in the talk.…”
Section: Scheme 1 Minimal and Nonminimal Axion-photon Couplingmentioning
confidence: 99%
“…The most interesting models, of course, are the models with dipole and quadruple moments, since they, in principle, can be tested using spectroscopic technics. The multipole structure of the electromagnetic field for the case of relic dark matter axions was analyzed in [28] on the example of weak gravitational field of the Earth. Now we consider the relativistic model of magnetic star with strong magnetic, gravitational, pseudoscalar (axion) fields and axionically induced electric field.…”
Section: Introductionmentioning
confidence: 99%