Electromagnetic Fields in Kerr-Shild Space-Times

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

3 pages, twocolumn. Talk given at the International conference on General Relativity and Cosmology, June-July 2010, Peoples' Friendship University of Russia, Moscow

References in corpus (2)

• Complex Kerr Geometry, Twistors and the Dirac Electron
• A nonstationary generalization of the Kerr congruence

Cited by in corpus (1)

• Maxwell, Yang-Mills, Weyl and eikonal fields defined by any null shear-free congruence