Electromagnetic Fields in Kerr-Shild Space-Times
Vladimir V. Kassandrov
TL;DR
This paper constructs an infinite family of electromagnetic fields in Kerr-Schild spacetimes using twistor theory and the Kerr theorem, providing algebraic methods and examples of invariant fields.
Contribution
It introduces a purely algebraic approach to generate electromagnetic fields in Kerr-Schild backgrounds utilizing twistor structures and shear-free null congruences.
Findings
Infinite family of solutions for Maxwell equations in Kerr-Schild spacetimes
Explicit examples of axisymmetric electromagnetic fields
Method applicable to flat and curved backgrounds
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.
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