Black holes with current loops revisited

Details Black holes with current loops revisited Black holes with current loops revisited

2011-02-15

arxiv.org/abs/1102.3022v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 5 figures. v2: 3 new references, revisions in Sect. 3

Scientific paper

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.

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