Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
Kirill A. Bronnikov
Abstract
It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian L(F), F = Fmn Fmn 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 ∞. 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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