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Stationary electromagnetic fields around black holes. II. General solutions and the fields of some special sources near a Kerr black hole

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Abstract

The electromagnetic field of a general stationary source, occurring in the vicinity of a rotating (Kerr) black hole, is obtained by solving the Maxwell and Teukolsky equations. The field is expressed 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 not necessarily located in axisymmetric positions are calculated. The electromagnetic field occurring when a Kerr black hole is placed in an originally uniform magnetic field is derived without assuming the alignment of the direction of the magnetic field and the axis of symmetry of the black hole.

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Authors and Affiliations

  1. Department of Mathematical Physics, Faculty of Mathematics and Physics, The Charles University, Prague

    J. Bičák & L. Dvořák

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  1. J. Bičák
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  2. L. Dvořák
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Additional information

We have recently learned that A. King from the University of Hamburg has independently found the vacuum solutions given in Section 2 of the present paper. His work will be published inMathematics Proceedings of the Cambridge Philosophical Society. In another paper (to be published inLettere al Nuovo Cimento) he gives the fields of a stationary point charge and a stationary magnetic monopole.

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Bičák, J., Dvořák, L. Stationary electromagnetic fields around black holes. II. General solutions and the fields of some special sources near a Kerr black hole. Gen Relat Gravit 7, 959–983 (1976). https://doi.org/10.1007/BF00766421

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  • DOI: https://doi.org/10.1007/BF00766421

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