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Regular magnetic black holes and monopoles from nonlinear electrodynamics

Regular magnetic black holes and monopoles from nonlinear electrodynamics 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Regular magnetic black holes and monopoles from nonlinear electrodynamics

Physical Review D , Volume 63 (4) – Feb 15, 2001
6 pages

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References (12)

Publisher
American Physical Society (APS)
Copyright
Copyright © 2001 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.63.044005
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Feb 15, 2001

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