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Anisotropic cosmological models with non-minimally coupled magnetic field

Alexander B. Balakin·Winfried Zimdahl
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Abstract

Motivated by the structure of one-loop vacuum polarization effects in curved spacetime we discuss a non-minimal extension of the Einstein-Maxwell equations. This formalism is applied to Bianchi I models with magnetic field. We obtain several exact solutions of the non-minimal system including those which describe an isotropization process. We show that there are inflationary solutions in which the cosmological constant is determined by the non-minimal coupling parameters. Furthermore, we find an isotropic de Sitter solution characterized by a "screening" of the magnetic field as a consequence of the non-minimal coupling.

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Alexander B. Balakin, Winfried Zimdahl. 2005-04-10. Anisotropic cosmological models with non-minimally coupled magnetic field. https://doi.org/10.1103/physrevd.71.124014

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