Field of a dipole in charged black-hole electrostatics

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Charge Distribution, Dipole Moments, Electric Dipoles, Magnetic Dipoles, Maxwell Equation, Metric Space, Reissner Theory, Singularity (Mathematics)

Scientific paper

By using the solution of Adler and Das (1976) for Maxwell's equations in a Reissner-Nordstrom optimally charged background metric, the field of a static electric dipole is found and then, by a duality rotation, the field of a static magnetic dipole is found. A generalization of the concept of electric-dipole moment is proposed for static dipoles in curved manifolds, and the behaviour of the fields both for the dipole very near and very far from the singular surface of the Reissner-Nordstrom geometry is studied.

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