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A regular universe filled with uniform electric and magnetic field

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Abstract

Starting with a generic nonlinear electrodynamic Lagrangian \({\mathcal {L}}= {\mathcal {L}}\left( {\mathcal {F}},{\mathcal {G}}\right) \), we show that the linear Maxwell Lagrangian belongs to a class of generic nonlinear electrodynamic Lagrangian which admits conformally flat Bertotti–Robinson solution in \(3+1-\) dimensions. The model is conformal invariant with a zero-trace energy–momentum tensor. Furthermore, the electric field of a point charge is found to be the same as the linear Maxwell with or without the presence of a magnetic monopole. The causality and unitarity principles are also studied which impose constraints on the actual form of the Lagrangian density.

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Authors and Affiliations

  1. Department of Physics, Faculty of Arts and Sciences, Eastern Mediterranean University, North Cyprus via Mersin 10, Famagusta, Turkey

    S. Habib Mazharimousavi

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  1. S. Habib Mazharimousavi
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Correspondence to S. Habib Mazharimousavi.

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Mazharimousavi, S.H. A regular universe filled with uniform electric and magnetic field. Eur. Phys. J. Plus 136, 285 (2021). https://doi.org/10.1140/epjp/s13360-021-01264-8

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