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Black holes with current loops revisited

Lookup NU author(s): Professor Ian MossORCiD



The electromagnetic field around a Kerr black hole inside a current loop is sometimes used as the basis of a toy model for discussing the properties of particle orbits near astrophysical black holes. The motivation for the present paper is to correct the published solution to Maxwell's equations with a charged current loop. Dipole approximations and closed-form expressions in the extreme Kerr limit are also presented. Using the corrected solution, it turns out that imposing a vanishing electromotive force produces a loop with a potential which is finite everywhere outside the black hole. Ring solutions can be combined into solutions with multiple rings or current discs.

Publication metadata

Author(s): Moss IG

Publication type: Article

Publication status: Published

Journal: Physical Review D

Year: 2011

Volume: 83

Issue: 12

Print publication date: 27/06/2011

Date deposited: 21/02/2012

ISSN (print): 1550-7998

ISSN (electronic): 1089-4918

Publisher: American Physical Society


DOI: 10.1103/PhysRevD.83.124046


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