ON ROTATING BLACK-HOLES IN EQUILIBRIUM IN GENERAL-RELATIVITY

被引：76

作者：

WEINSTEIN, G

机构：

[1] Stanford University, Stanford, California

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1990年 / 43卷 / 07期

关键词：

D O I：

10.1002/cpa.3160430705

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study asymptotically flat axially symmetric stationary solutions of the Einstein vacuum equations. These represent rotating black holes in equilibrium. The equations reduce outside the axis of symmetry to a harmonic map problem into the hyperbolic plane, with prescribed rates of blow‐up for the map on the axis and at infinity as boundary conditions. We prove existence and uniqueness of solutions in the case of zero total angular momentum. Copyright © 1990 Wiley Periodicals, Inc., A Wiley Company

引用

页码：903 / 948

页数：46

共 15 条

[1]

Beardon A. F., 1983, GRADUATE TEXTS MATH, V91

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