A geometric description of Maxwell field in a Kerr spacetime

Abstract

We consider the Maxwell field in the exterior of a Kerr black hole. For this system, we propose a geometric construction of generalized Klein-Gordon equation called Fackerell-Ipser equation. Our model is based on conformal Yano-Kiling tensor (CYK tensor). We present non-standard properties of CYK tensors in the Kerr spacetime which are useful in electrodynamics.

19 pages

References in corpus (2)

• On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
• Decay of solutions to the Maxwell equation on the Schwarzschild background

Cited by in corpus (4)

• Simple description of generalized electromagnetic and gravitational hopfions
• Black hole nonmodal linear stability: odd perturbations of Reissner-Nordström
• Numerical investigation of the late-time tails of the solutions of the Fackerell-Ipser equation
• Finslerian geometrodynamics