Uniqueness of extremal Kerr and Kerr-Newman black holes

被引：36

作者：

Amsel, Aaron J. ^{[1
]}

Horowitz, Gary T. ^{[1
]}

Marolf, Donald ^{[1
]}

Roberts, Matthew M. ^{[1
]}

机构：

[1] UCSB, Dept Phys, Santa Barbara, CA 93106 USA

来源：

PHYSICAL REVIEW D | 2010年 / 81卷 / 02期

基金：

美国国家科学基金会;

关键词：

HARMONIC MAPS; SYSTEMS; HORIZON; THEOREM;

D O I：

10.1103/PhysRevD.81.024033

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We prove that the only four-dimensional, stationary, rotating, asymptotically flat (analytic) vacuum black hole with a single degenerate horizon is given by the extremal Kerr solution. We also prove a similar uniqueness theorem for the extremal Kerr-Newman solution. This closes a long-standing gap in the black hole uniqueness theorems.

引用

页数：5

共 29 条

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[2]

Bardeen J, 1999, PHYS REV D, V60, DOI 10.1103/PhysRevD.60.104030

[3]

Bunting G.L., 1983, Proof of the uniqueness conjecture for black holes

[4] BUNTING IDENTITY AND MAZUR IDENTITY FOR NON-LINEAR ELLIPTIC-SYSTEMS INCLUDING THE BLACK-HOLE EQUILIBRIUM PROBLEM [J].