Electromagnetic Fields in Kerr-Shild Space-Times

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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3 pages, twocolumn. Talk given at the International conference on General Relativity and Cosmology, June-July 2010, Peoples' F

Scientific paper

10.1134/S0202289311010130

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 obtained for any such congruence in a purely algebraic way. Simple examples of invariant axisymmetric Maxwell fields are presented.

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