Electromagnetic Fields in Kerr-Shild Space-Times
General Relativity and Quantum Cosmology
2013-11-22 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1105.3498,
title = {Electromagnetic Fields in Kerr-Shild Space-Times},
author = {Vladimir V. Kassandrov},
journal= {arXiv preprint arXiv:1105.3498},
year = {2013}
}
Comments
3 pages, twocolumn. Talk given at the International conference on General Relativity and Cosmology, June-July 2010, Peoples' Friendship University of Russia, Moscow