Time-Periodic Einstein-Klein-Gordon Bifurcations of Kerr

被引：16

作者：

Chodosh, Otis ^{[1
]}

Shlapentokh-Rothman, Yakov ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Fine Hall,Washington Rd, Princeton, NJ 08544 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2017年 / 356卷 / 03期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

BLACK-HOLE SOLUTIONS; WAVE-EQUATION; ENERGY DECAY; STABILITY; UNIQUENESS; EXISTENCE; PROOF; MASS;

D O I：

10.1007/s00220-017-2998-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct one-parameter families of solutions to the Einstein-Klein-Gordon equations bifurcating off the Kerr solution such that the underlying family of spacetimes are each an asymptotically flat, stationary, axisymmetric, black hole spacetime, and such that the corresponding scalar fields are non-zero and time-periodic. An immediate corollary is that for these Klein-Gordon masses, the Kerr family is not asymptotically stable as a solution to the Einstein-Klein-Gordon equations.

引用

页码：1155 / 1250

页数：96

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