Kerr-NUT-de Sitter curvature in all dimensions

被引:58
作者
Hamamoto, Naoki
Houri, Tsuyoshi
Oota, Takeshi
Yasui, Yukinori
机构
[1] Osaka City Univ, Grad Sch Sci, Dept Math & Phys, Osaka 5588585, Japan
[2] Osaka City Univ, Adv Math Inst, Osaka 5588585, Japan
关键词
BLACK-HOLES; METRICS;
D O I
10.1088/1751-8113/40/7/F01
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We explicitly calculate the Riemannian curvature of D-dimensional metrics recently discussed by Chen, Lu and Pope. We find that it can be concisely written by using a single function. The Einstein condition which corresponds to the Kerr-NUT-de Sitter metric is clarified for all dimensions. It is shown that the metrics are of type D.
引用
收藏
页码:F177 / F184
页数:8
相关论文
共 14 条
[1]  
Apostolov V, 2006, J DIFFER GEOM, V73, P359
[2]   General Kerr-NUT-AdS metrics in all dimensions [J].
Chen, W. ;
Lu, H. ;
Pope, C. N. .
CLASSICAL AND QUANTUM GRAVITY, 2006, 23 (17) :5323-5340
[3]  
CHEN W, 2006, HEPTH0601002
[4]   Classification of the Weyl tensor in higher dimensions [J].
Coley, A ;
Milson, R ;
Pravda, V ;
Pravdová, A .
CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (07) :L35-L41
[5]   New Einstein-Sasaki spaces in five and higher dimensions -: art. no. 071101 [J].
Cvetic, M ;
Lü, H ;
Page, DN ;
Pope, CN .
PHYSICAL REVIEW LETTERS, 2005, 95 (07)
[6]  
CVETIC M, 2005, HEPTH0505223
[7]   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
[8]   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
[9]   Sasaki-Einstein twist of Kerr-AdS black holes [J].
Hashimoto, Y ;
Sakaguchi, M ;
Yasui, Y .
PHYSICS LETTERS B, 2004, 600 (3-4) :270-274
[10]   Rotation and the AdS-CFT correspondence [J].
Hawking, SW ;
Hunter, CJ ;
Taylor-Robinson, MM .
PHYSICAL REVIEW D, 1999, 59 (06)