Separation of variables in Maxwell equations in Plebanski-Demianski spacetime

被引：25

作者：

Frolov, Valeri P. ^{[1
,2
]}

Krtous, Pavel ^{[3
]}

Kubiznak, David ^{[4
]}

机构：

[1] Univ Alberta, Theoret Phys Inst, Edmonton, AB T6G 2E1, Canada

[2] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan

[3] Charles Univ Prague, Fac Math & Phys, Inst Theoret Phys, V Holesovickach 2, CR-18000 Prague, Czech Republic

[4] Perimeter Inst, 31 Caroline St North, Waterloo, ON N2L 2Y5, Canada

来源：

PHYSICAL REVIEW D | 2018年 / 97卷 / 10期

基金：

加拿大自然科学与工程研究理事会;

关键词：

STATIONARY ELECTROMAGNETIC-FIELDS; BLACK-HOLES; GENERAL-SOLUTIONS; SEPARABILITY; MASS;

D O I：

10.1103/PhysRevD.97.101701

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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 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.

引用

页数：6

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