Stationary two-black-hole configurations: A non-existence proof

被引：23

作者：

Neugebauer, Gernot ^{[2
]}

Hennig, Joerg ^{[1
]}

机构：

[1] Univ Otago, Dept Math & Stat, Dunedin 9054, New Zealand

[2] Univ Jena, Inst Theoret Phys, D-07743 Jena, Germany

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2012年 / 62卷 / 03期

关键词：

Black holes; Killing horizons; Equilibrium configurations; Inverse scattering method; Non-linear elliptic differential equations; INVERSE SCATTERING METHOD; DOUBLE-KERR SOLUTION; SYMMETRY AXIS; BLACK-HOLES; EQUILIBRIUM; EQUATIONS; SUPERPOSITION; FIELDS; MASS;

D O I：

10.1016/j.geomphys.2011.05.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the solution of a boundary problem for disconnected (Killing) horizons and the resulting violation of characteristic black hole properties, we present a non-existence proof for equilibrium configurations consisting of two aligned rotating black holes. Our discussion is principally aimed at developing the ideas of the proof and summarizing the results of two preceding papers (Neugebauer and Hennig, 2009 [2], Hennig and Neugebauer, 2011 [3]). From a mathematical point of view, this paper is a further example (Meinel et al., (2008) [29]) for the application of the inverse ("scattering") method to a non-linear elliptic differential equation. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：613 / 630

页数：18