Hidden symmetries of higher-dimensional rotating black holes

被引：88

作者：

Frolov, Valeri P. ^{[1
]}

Kubiznak, David ^{[1
]}

机构：

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

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 98卷 / 01期

关键词：

D O I：

10.1103/PhysRevLett.98.011101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We demonstrate that the rotating black holes in an arbitrary number of dimensions and without any restrictions on their rotation parameters possess the same hidden symmetry as the four-dimensional Kerr metric. Namely, besides the spacetime symmetries generated by the Killing vectors they also admit the (antisymmetric) Killing-Yano and symmetric Killing tensors.

引用

页数：4

共 29 条

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

Benn, IM ;

Charlton, P .

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

[2] Quantum mechanics of Yano tensors: Dirac equation in curved spacetime [J].

Cariglia, M .

CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (04) :1051-1077

[3] KILLING TENSOR QUANTUM NUMBERS AND CONSERVED CURRENTS IN CURVED SPACE [J].

CARTER, B .

PHYSICAL REVIEW D, 1977, 16 (12) :3395-3414

[4] GLOBAL STRUCTURE OF KERR FAMILY OF GRAVITATIONAL FIELDS [J].

CARTER, B .

PHYSICAL REVIEW, 1968, 174 (05) :1559-+

[5] GENERALIZED TOTAL ANGULAR-MOMENTUM OPERATOR FOR THE DIRAC-EQUATION IN CURVED SPACE-TIME [J].

CARTER, B ;

MCLENAGHAN, RG .

PHYSICAL REVIEW D, 1979, 19 (04) :1093-1097

[6]

Chandrasekhar S., 1983, The Mathematical Theory of Black Holes

[7] Algebraic classification of higher dimensional spacetimes [J].

Coley, A ;

Pelavas, N .

GENERAL RELATIVITY AND GRAVITATION, 2006, 38 (03) :445-461

[8]

COLLINSON CD, 1974, TENSOR, V28, P173

[9] SEPARABILITY STRUCTURES AND KILLING-YANO TENSORS IN VACUUM TYPE-D SPACE-TIMES WITHOUT ACCELERATION [J].

DEMIANSKI, M ;

FRANCAVIGLIA, M .

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1980, 19 (09) :675-680

[10] SPACE-TIMES ADMITTING KILLING-YANO TENSORS .1. [J].

DIETZ, W ;

RUDIGER, R .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1981, 375 (1762) :361-378

← 1 2 3 →