Separation of variables in Maxwell equations in Plebanski-Demianski spacetime
High Energy Physics - Theory
2018-05-28 v2 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1802.09491,
title = {Separation of variables in Maxwell equations in Plebanski-Demianski spacetime},
author = {Valeri P. Frolov and Pavel Krtouš and David Kubizňák},
journal= {arXiv preprint arXiv:1802.09491},
year = {2018}
}
Comments
7 pages, no figures [v2: typos corrected, references updated]