Separation of variables in Maxwell equations in Plebanski-Demianski spacetime

Abstract

A new method for separating variables in Maxwell's equations in four- and higher-dimensional Kerr-(A)dS spacetimes proposed recently by Lunin is generalized to any off-shell metric that admits a principal Killing-Yano tensor. The key observation is that Lunin's ansatz for the vector potential can be formulated in a covariant form - in terms of the principal tensor. In particular, focusing on the four-dimensional case we demonstrate separability of Maxwell's equations in the Kerr-NUT-(A)dS and the Plebanski-Demianski family of spacetimes. The new method of separation of variables is quite different from the standard approach based on the Newman-Penrose formalism.

arXiv comment7 pages, no figures [v2: typos corrected, references updated]

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Cited by in corpus (21)

• Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes
• Instability of the Proca field on Kerr spacetime
• Separation of Maxwell equations in Kerr-NUT-(A)dS spacetimes
• Quasinormal modes of massive vector fields on the Kerr spacetime
• Quenching Mechanisms of Photon Superradiance
• Separation of variables in Hamilton-Jacobi equation for a charged test particle in the Stackel spaces of type (2.0)
• Massive vector fields in Kerr--Newman and Kerr--Sen black hole spacetimes
• Electromagnetic fields on Kerr spacetime, Hertz potentials and Lorenz gauge
• Excitations of the Myers-Perry Black Holes
• Plebański-Demiański solutions with dynamical torsion and nonmetricity fields
• Principal Tensor Strikes Again: Separability of Vector Equations with Torsion
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• Scalar fields on λ-deformed cosets
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• Higher-dimensional black holes with multiple equal rotations