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It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian L ( F ) , F = F μ ν F μ ν having a correct weak field limit, leads to nontrivial 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 → ∞ . The properties and examples of such solutions, which include magnetic black holes and solitonlike 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 the FP duality) is used as a tool for this comparison.
Physical Review D – American Physical Society (APS)
Published: Feb 15, 2001
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