Extended axion electrodynamics: Anomalous dynamo-optical response induced by gravitational pp-waves

Abstract

We extend the Einstein-Maxwell-axion theory including into the Lagrangian cross-terms of the dynamo-optical type, which are quadratic in the Maxwell tensor, linear in the covariant derivative of the macroscopic velocity four-vector, and linear in the pseudoscalar (axion) field or its gradient four-vector. We classify the new terms with respect to irreducible elements of the covariant derivative of the macroscopic velocity four-vector of the electromagnetically active medium: the expansion scalar, acceleration four-vector, shear and vorticity tensors. Master equations of the extended axion electrodynamics are used for the description of the response of an axionically active electrodynamic system, induced by a pp-wave gravitational background. We show that this response has a critical character, i.e., the electric and magnetic fields, dynamo-optically coupled to the axions, grow anomalously under the influence of the external pp-wave gravitational field. * Electronic address: Alexander.Balakin@kpfu.ru † Electronic address: Timur.Alpin@kpfu.ru

Birefringence induced by pp-wave modes in an electromagnetically active dynamic aether

“…The function a (−) u remains finite, however, the double limit α → 0, γ → 0 does not exist, since the term h1 h2 depends on the guiding trajectory on the plane α0γ. These are typical symptoms of the existence of an anomaly in the electromagnetic response (see, e.g., [43,[48][49][50][51] for details). Thus, for the electromagnetic waves indicated by the minus sign the phase functions are irregular in the limit α → 0, γ → 0.…”

“…In this sense they are characterized by a violation of Lorentz invariance (see, e.g., [16]). There is also an alternative approach to introduce dynamo-optical interactions, which is based on the analysis of the time-like unit eigen four-vector of the stressenergy tensor of the cosmic substratum (the vacuum, the aether, the dark fluid and so on) (see, e.g., [41][42][43]). Such velocity field appears algebraically as an intrinsic vectorial quantity; the velocity field which we consider now is related to the additional dynamic vector field.…”

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

“…When we deal with the gravitational ppwaves, the pseudoscalar (axion) field can be considered as a function of retarded time u = (ct−x)/ √ 2, and the corresponding gradient four-vector is the null one, i.e., ∇ i φ∇ i φ=0. Electric field, induced due to the axion coupling to the static magnetic field under the influence of the gravitational pp-waves, is shown to reveal anomalous character (see, e.g., [21][22][23]).…”

Einstein–Maxwell-axion theory: dyon solution with regular electric field

“…These applications involve into consideration various models of interaction of gravitational, electromagnetic, scalar and pseudoscalar fields, which are called nowadays the Einstein-Maxwell-axion, and Einstein-Maxwell-axion-dilaton models (see, e.g., [16][17][18]). Also, these applications attract the attention to the models, which belong to the class of theories indicated by term Extended Axion Electrodynamics [19][20][21][22][23][24][25][26].…”