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Separation of variables in Maxwell equations in Plebański-Demiański spacetime

Frolov, V. P.; Krtouš, P.; Kubizňák, D.

A new method for separating variables in the Maxwell 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 fourdimensional case we demonstrate separability of Maxwell’s equations in the Kerr–NUT–(A)dS and the
Plebański–Demiański family of spacetimes. The new method of separation of variables is quite different
from the standard approach based on the Newman–Penrose formalism.
type:article
journal:Phys. Rev. D
volume:97
pages:101701
year:2018
eprint:arXiv:1802.09491
grants:General relativistic fields of compact astrophysical sources, GAČR 14-10625S; 2014-2016; hlavní řešitel: Oldřich Semerák
files:
frolovvp,krtousp,kubiznakd-physrevd97(2018)101701.pdf (183.21 kB)

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