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arXiv · 1802.09491

Separation of variables in Maxwell equations in Plebanski-Demianski spacetime

Valeri P. Frolov·Pavel Krtouš·David Kubizňák
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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.

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Valeri P. Frolov, Pavel Krtouš, David Kubizňák. 2018-02-26. Separation of variables in Maxwell equations in Plebanski-Demianski spacetime. https://doi.org/10.1103/physrevd.97.101701

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