Higher-dimensional black holes:: hidden symmetries and separation of variables

被引：105

作者：

Frolov, Valeri P. ^{[1
]}

Kubiznak, David ^{[1
]}

机构：

[1] Univ Alberta, Inst Theoret Phys, Edmonton, AB T6G 2G7, Canada

来源：

CLASSICAL AND QUANTUM GRAVITY | 2008年 / 25卷 / 15期

关键词：

D O I：

10.1088/0264-9381/25/15/154005

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper, we discuss hidden symmetries in rotating black hole spacetimes. We start with an extended introduction which mainly summarizes results on hidden symmetries in four dimensions and introduces Killing and Killing - Yano tensors, objects responsible for hidden symmetries. We also demonstrate how starting with a principal CKY tensor ( that is a closed non- degenerate conformal Killing - Yano 2- form) in 4D flat spacetime one can ` generate' the 4D Kerr NUT -( A) dS solution and its hidden symmetries. After this we consider higherdimensional Kerr - NUT -( A) dS metrics and demonstrate that they possess a principal CKY tensor which allows one to generate the whole tower of Killing Yano and Killing tensors. These symmetries imply complete integrability of geodesic equations and complete separation of variables for the Hamilton Jacobi, Klein - Gordon and Dirac equations in the general Kerr - NUT -( A) dS metrics.

引用

页数：22

共 156 条

[1] Rotating black holes in higher dimensional Einstein-Maxwell gravity [J].

Aliev, A. N. .

PHYSICAL REVIEW D, 2006, 74 (02)

[2] Electromagnetic properties of Kerr-anti-de Sitter black holes [J].

Aliev, Alikram N. .

PHYSICAL REVIEW D, 2007, 75 (08)

[3] Five-dimensional rotating black hole in a uniform magnetic field: The gyromagnetic ratio [J].

Aliev, AN ;

Frolov, VP .

PHYSICAL REVIEW D, 2004, 69 (08) :10

[4]

Banks T, 1999, HEPTH9906038

[5] REMARKS ON CERTAIN SEPARABILITY STRUCTURES AND THEIR APPLICATIONS TO GENERAL RELATIVITY [J].

BENENTI, S ;

FRANCAVIGLIA, M .

GENERAL RELATIVITY AND GRAVITATION, 1979, 10 (01) :79-92

[6] Dirac symmetry operators from conformal Killing-Yano tensors [J].

Benn, IM ;

Charlton, P .

CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (05) :1037-1042

[7] Debye potentials for Maxwell and Dirac fields from a generalization of the Killing-Yano equation [J].

Benn, IM ;

Charlton, P ;

Kress, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (09) :4504-4527

[8] Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions [J].

Berti, E ;

Cardoso, V ;

Casals, M .

PHYSICAL REVIEW D, 2006, 73 (02)

[9] Charged-rotating black holes and black strings in higher dimensional Einstein-Maxwell theory with a positive cosmological constant [J].

Brihaye, Y. ;

Delsate, T. .

CLASSICAL AND QUANTUM GRAVITY, 2007, 24 (18) :4691-4709

[10] Black hole particle emission in higher-dimensional spacetimes - art. no. 071301 [J].

Cardoso, V ;

Cavaglià, M ;

Gualtieri, L .

PHYSICAL REVIEW LETTERS, 2006, 96 (07)

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