Gradient models of the axion-photon coupling

Abstract

We establish an extended version of the Einstein - Maxwell - axion model by introducing into the Lagrangian cross-terms, which contain the gradient four-vector of the pseudoscalar (axion) field in convolution with the Maxwell tensor. The gradient model of the axion-photon coupling is applied to cosmology: we analyze the Bianchi-I type Universe with an initial magnetic field, electric field induced by the axion-photon interaction, cosmological constant and dark matter, which is described in terms of the pseudoscalar (axion) field. Analytical, qualitative and numerical results are presented in detail for two distinguished epochs: first, for the early Universe with magnetic field domination; second, for the stage of late-time accelerated expansion.

26 pages, 5 figures, accepted for publication in The European Physical Journal C

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• $f(R)$ Gravity Inflation with String-Corrected Axion Dark Matter
• Aspects of Axion $F(R)$ Gravity
• Propagation of Gravitational Waves in Chern-Simons Axion Einstein Gravity
• Supermassive Neutron Stars in Axion $F(R)$ Gravity
• Rotating Neutron Stars in F(R) Gravity with Axions
• $F(R)$ Gravity with an Axion-like Particle: Dynamics, Gravity Waves, Late and Early-time Phenomenology
• Spin-axion coupling
• Axion electrodynamics and dark matter fingerprints in the terrestrial magnetic and electric fields
• The Einstein-Maxwell-aether-axion theory: Dynamo-optical anomaly in the electromagnetic response
• Electrodynamics of a Cosmic Dark Fluid
• Axion-induced oscillations of cooperative electric field in a cosmic magneto-active plasma
• Electromagnetic waves in an axion-active relativistic plasma non-minimally coupled to gravity
• Einstein-Maxwell-axion theory: Dyon solution with regular electric field
• Neutron Stars in f(R)-Gravity and Its Extension with a Scalar Axion Field
• Electrodynamic phenomena induced by a dark fluid: Analogs of pyromagnetic, piezoelectric, and striction effects
• Extended axion electrodynamics: Anomalous dynamo-optical response induced by gravitational pp-waves
• Magneto-electro-statics of axionically active systems: Induced field restructuring in magnetic stars