Electromagnetic fields in Kerr-Schild space-times

V.V. Kassandrov1

Abstract

Making use of twistor structures and the Kerr theorem for shear-free null geodesic congruences, an infinite family of electromagnetic fields satisfying the homogeneous Maxwell equations in flat Minkowski and the associated curved Kerr-Schild backgrounds is determined for any such congruence in a purely algebraic way. The simplest examples of invariant axisymmetric Maxwell fields are presented.

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