Plebanski-Demianski时空中麦克斯韦方程组的分离变量
Separation of variables in Maxwell equations in Plebanski-Demianski spacetime
摘要：
本文将Lunin最近提出的四维及高维Kerr-（A）dS时空中Maxwell方程的分离变量的新方法推广到任何允许主Killing-Yano张量的离壳度规.关键的观察是，卢宁对矢势的反量可以用协变形式来表述--用主张量来表述。特别是，专注于四维的情况下，我们证明了麦克斯韦方程组的可分性的Kerr-NUT-（A）dS和Plebanski-Demianski家庭的时空。分离变量的新方法与基于Newman-Penrose形式主义的标准方法有很大不同。
英文摘要：
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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