On smoothness of black saturns

被引:11
作者
Chrusciel, Piotr T. [1 ]
Eckstein, Michal [2 ]
Szybka, Sebastian J. [3 ]
机构
[1] Univ Vienna, A-1090 Vienna, Austria
[2] Jagiellonian Univ, M Smoluchowski Inst Phys, PL-30059 Krakow, Poland
[3] Jagiellonian Univ, Astron Observ, PL-30244 Krakow, Poland
基金
英国工程与自然科学研究理事会;
关键词
Black Holes; Spacetime Singularities;
D O I
10.1007/JHEP11(2010)048
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We prove smoothness of the domain of outer communications (d.o.c.) of the Black Saturn solutions of Elvang and Figueras. We show that the metric on the d.o.c. extends smoothly across two disjoint event horizons with topology R x S-3 and R x S-1 x S-2. We establish stable causality of the d.o.c. when the Komar angular momentum of the spherical component of the horizon vanishes, and present numerical evidence for stable causality in general.
引用
收藏
页数:39
相关论文
共 11 条
[1]  
[Anonymous], xAct: Efficient tensor computer algebra for the Wolfram Language
[2]  
BARDEEN JM, 1973, RAPIDLY ROTATING STA, P245
[3]  
CHRUSCIEL PT, 2010, GHOST POINTS INVERSE
[4]  
CHRUSCIEL PT, ARXIV08072309
[5]   Black saturn [J].
Elvang, Henriette ;
Figueras, Pau .
JOURNAL OF HIGH ENERGY PHYSICS, 2007, (05)
[6]   On universality in ergoregion mergers [J].
Elvang, Henriette ;
Figueras, Pau ;
Horowitz, Gary T. ;
Hubeny, Veronika E. ;
Rangamani, Mukund .
CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (08)
[7]  
Galassi M., GNU SCI LIB REFERENC
[8]   A universal inequality between the angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter [J].
Hennig, Joerg ;
Ansorg, Marcus ;
Cederbaum, Carla .
CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (16)
[9]  
Meinel R., 2008, Relativistic Figures of Equilibrium
[10]   Complete integrability of higher-dimensional Einstein equations with additional symmetry and rotating black holes [J].
Pomeransky, AA .
PHYSICAL REVIEW D, 2006, 73 (04)