Proof of the angular momentum-mass inequality for axisymmetric black holes

被引：0

作者：

Dain, Sergio ^{[1
,2
]}

机构：

[1] Univ Nacl Cordoba, Fac Math Astron & Fis, RA-5000 Cordoba, Argentina

[2] Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Potsdam, Germany

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2008年 / 79卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that an extreme Kerr initial data set is a unique absolute minimum of the total mass in a (physically relevant) class of vacuum, maximal, asymptotically flat, axisymmetric data for Einstein equations with fixed angular momentum. These data represent non-stationary, axially symmetric black holes. As a consequence, we obtain that any data in this class satisfy the inequality root J <= m, where m and J are the total mass and angular momentum of spacetime.

引用

页码：33 / 67

页数：35

共 46 条

[21]

DAIN S, 2006, GRQC0606105

[22] A variational principle for stationary, axisymmetric solutions of Einstein's equations [J].