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Stationary electromagnetic fields around black holes

I. General solutions and the fields of some special sources near a Schwarzschild black hole

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Czechoslovak Journal of Physics B Aims and scope

Abstract

In the framework of the Newman-Penrose formalism the electromagnetic field of a general stationary source occurring in the vicinity of a Schwarzschild black hole is obtained in the test-field approximation. The field is expressed in terms of hypergeometric functions (radial parts) and spin-s spherical harmonics (angular parts) both outside and inside the radius at which the source is, located. As examples, the fields of point charges, charged rings, current loops and magnetic dipoles (generally located in non-axisymmetric positions) are calculated.

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Based partially on the Diploma thesis submitted by this author at the Faculty of Mathematics and Physics and on the work (unpublished) which won the First Prize in the Czechoslovak Competition for the Best Student Work in Theoretical Physics in May 1975.

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Bičák, J., Dvořák, L. Stationary electromagnetic fields around black holes. Czech J Phys 27, 127–147 (1977). https://doi.org/10.1007/BF01587004

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  • DOI: https://doi.org/10.1007/BF01587004

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