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Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics

Kirill A. Bronnikov
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Abstract

It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian $L(F)$, $F = F_mn F^mn$ having a correct weak field limit, leads to nontrivial static, spherically symmetric solutions with a globally regular metric if and only if the electric charge is zero and $L(F)$ tends to a finite limit as $F \to \infty$. Properties and examples of such solutions, which include magnetic black holes and soliton-like objects (monopoles), are discussed. Magnetic solutions are compared with their electric counterparts. A duality between solutions of different theories specified in two alternative formulations of NED (called $FP$ duality) is used as a tool for this comparison.

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BibTeXRIS

Kirill A. Bronnikov. 2001-01-23. Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics. https://doi.org/10.1103/physrevd.63.044005

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