Interaction of axionic dark matter with electromagnetic field in the anisotropic homogeneous Universe of the Bianchi types V and VI

For the classes V and VI of the Bianchi models, which describe the evolution of an anisotropic spatially homogeneous early Universe with a global magnetic field, the problem of the formation of an electric field induced by the interaction of photons with axionic dark matter is studied. The problem is investigated within the framework of the author's version of nonlinear axion electrodynamics. It is shown that only for a particular Bianchi-VI0 model the symmetry of the magnetoelectric field configuration is consistent with the spatial symmetry of the model. For the model of this type, the exact solutions of the electrodynamic equations are found, and it is established that the evolution of the axionically induced electric field can be accompanied by its anomalous growth.