Abstract
We consider the nonlinearly extended Einstein–Maxwell-axion theory, which is based on the account for two symmetries: first, the discrete symmetry associated with the properties of the axion field, and second, the Jackson’s symmetry, prescribing to the electrodynamics to be invariant with respect to the rotation in the plane coordinated by the electric and magnetic fields. We derive the master equations of the nonlinearly extended theory and apply them to the Bianchi-I model with magnetic field. The main result, describing the behavior of the nonlinearly coupled axion, electromagnetic, and gravitational fields is the anomalous growth of the axionically induced electric field in the early magnetized Universe. The character of behavior of this anomalous electric field can be indicated by the term flare. We expect, that these electric flares can produce the electron–positron pair creation, significant acceleration of the born charged particles, and the emission of the electromagnetic waves by these accelerated particles.
Highlights
The concept of symmetry has played and continues to play an outstanding role in the physics of fundamental interactions
The first type of symmetry is connected with the idea that the Lagrangian of the axion electrodynamics is invariant with respect to the discrete symmetry, associated with the shift φ = φ+2πk (k is an integer) of the pseudoscalar field φ introduced by Peccei and Quinn [1] and indicated later as an axion field
We presented the new version of the nonlinear extension of the Einstein–Maxwellaxion theory, and based on this theory, we can propose the following scenario of the evolution of the spatially homogeneous early magnetized Universe
Summary
The concept of symmetry has played and continues to play an outstanding role in the physics of fundamental interactions. Extending the theoretical models of the nonlinear cosmic axion electrodynamics, we happen to be inspired by beauty of the symmetries of two types. The first type of symmetry is connected with the idea that the Lagrangian of the axion electrodynamics is invariant with respect to the discrete symmetry, associated with the shift φ = φ+2πk (k is an integer) of the pseudoscalar field φ introduced by Peccei and Quinn [1] and indicated later as an axion field (see, e.g., [2,3,4,5,6] for details of this story). The well-known linear term φFmn √ ∗. Mn rest term 2πk − gFmn F in the action functional is the perfect divergence and can be eliminated.
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