Separability of the Hamilton-Jacobi and Klein-Gordon equations in Kerr-de Sitter metrics

被引：55

作者：

Vasudevan, M ^{[1
]}

Stevens, KA ^{[1
]}

Page, DN ^{[1
]}

机构：

[1] Univ Alberta, Inst Theoret Phys, Edmonton, AB T6G 2J1, Canada

来源：

CLASSICAL AND QUANTUM GRAVITY | 2005年 / 22卷 / 02期

关键词：

D O I：

10.1088/0264-9381/22/2/007

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study separability of the Hamilton-Jacobi and massive Klein-Gordon equations in the general Kerr-de Sitter spacetime in higher dimensions. Complete separation of both equations is carried out in 2n + 1 spacetime dimensions with all n rotation parameters equal, in which case the rotational symmetry group is enlarged from (U (1))(n) to U (n). We explicitly construct the additional Killing vectors associated with the enlarged symmetry group which permit separation. We also derive first-order equations of motion for particles in these backgrounds and examine some of their properties.

引用

页码：339 / 352

页数：14

共 22 条

[1] New dimensions at a millimeter to a fermi and superstrings at a TeV [J].

Antoniadis, I ;

Arkani-Hamed, N ;

Dimopoulos, S ;

Dvali, G .

PHYSICS LETTERS B, 1998, 436 (3-4) :257-263

[2] The hierarchy problem and new dimensions at a millimeter [J].

Arkani-Hamed, N ;

Dimopoulos, S ;

Dvali, G .

PHYSICS LETTERS B, 1998, 429 (3-4) :263-272

[3]

Carter B., 1968, Communications in Mathematical Physics, V10, P280

[4]

Carter B, 1972, BLACK HOLES HOUCHES

[5] Black hole and brane production in TeV gravity:: A review [J].

Cavaglià, M .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2003, 18 (11) :1843-1882

[6] Solitonic strings and BPS saturated dyonic black holes [J].

Cvetic, M ;

Tseytlin, AA .

PHYSICAL REVIEW D, 1996, 53 (10) :5619-5633

[7] Solitonic D-branes and brane annihilation -: art. no. 046002 [J].

Dvali, G ;

Vilenkin, A .

PHYSICAL REVIEW D, 2003, 67 (04)

[8] Particle and light motion in a space-time of a five-dimensional rotating black hole [J].

Frolov, V ;

Stojkovic, D .

PHYSICAL REVIEW D, 2003, 68 (06)

[9] Rotating black holes in higher dimensions with a cosmological constant -: art. no. 171102 [J].

Gibbons, GW ;

Lü, H ;

Page, DN ;

Pope, CN .

PHYSICAL REVIEW LETTERS, 2004, 93 (17) :171102-1

[10] The general Kerr-de Sitter metrics in all dimensions [J].

Gibbons, GW ;

Lü, H ;

Page, DN ;

Pope, CN .

JOURNAL OF GEOMETRY AND PHYSICS, 2005, 53 (01) :49-73

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