A Universal Inequality for Axisymmetric and Stationary Black Holes with Surrounding Matter in the Einstein-Maxwell Theory

被引：40

作者：

Hennig, Joerg ^{[1
]}

Cederbaum, Carla ^{[1
]}

Ansorg, Marcus ^{[1
,2
]}

机构：

[1] Max Planck Inst Gravitat Phys, D-14476 Golm, Germany

[2] Helmholtz Zentrum Munchen, Inst Biomath & Biometry, D-85764 Neuherberg, Germany

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 293卷 / 02期

关键词：

Black Hole; Global Minimizer; Variational Problem; Event Horizon; Black Hole Horizon;

D O I：

10.1007/s00220-009-0889-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that in Einstein-Maxwell theory the inequality (8 pi J)(2)+(4 pi Q(2))(2) < A(2) holds for any sub-extremal axisymmetric and stationary black hole with arbitrary surrounding matter. Here J, Q, and A are angular momentum, electric charge, and horizon area of the black hole, respectively.

引用

页码：449 / 467

页数：19

共 9 条

[1] A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter [J].

Ansorg, Marcus ;

Pfister, Herbert .

CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (03)

[2]

Bardeen J. M., 1973, Black Holes (Les Astres Occlus), P241

[3] Extremality conditions for isolated and dynamical horizons [J].

Booth, Ivan ;

Fairhurst, Stephen .

PHYSICAL REVIEW D, 2008, 77 (08)

[4]

BUTTAZZO G, 1998, ONE DIMENSIONAL VARI

[5]

Carter B., 1973, Black Hole Equilibrium States, Black Holes, P57

[6]

Evans LC., 2002, PARTIAL DIFFERENTIAL

[7] 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)

[8]

Rauch J, 1991, Graduate Texts in Mathematics

[9]

Yosida K., 1995, FUNCTION ANAL

← 1 →