Stability study of a model for the Klein-Gordon equation in Kerr space-time

被引：2

作者：

Reinhard Beyer, Horst ^{[1
,2
,3
]}

Alcubierre, Miguel ^{[3
]}

Megevand, Miguel ^{[3
]}

Carlos Degollado, Juan ^{[3
,4
]}

机构：

[1] Inst Tecnol Super Uruapan, Uruapan, Michoacan, Mexico

[2] Univ Tubingen, IAAT, D-72076 Tubingen, Germany

[3] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico

[4] Univ Nacl Autonoma Mexico, Inst Astron, Mexico City 04510, DF, Mexico

来源：

GENERAL RELATIVITY AND GRAVITATION | 2013年 / 45卷 / 01期

关键词：

Kerr metric; Stability; Klein-Gordon equation; Kerr background; Massive field; Instability; ROTATING BLACK-HOLE; SCALAR FIELDS; PERTURBATIONS; INSTABILITY; DYNAMICS;

D O I：

10.1007/s10714-012-1470-0

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The current early stage in the investigation of the stability of the Kerr metric is characterized by the study of appropriate model problems. Particularly interesting is the problem of the stability of the solutions of the Klein-Gordon equation, describing the propagation of a scalar field of mass in the background of a rotating black hole. Rigorous results prove the stability of the reduced, by separation in the azimuth angle in Boyer-Lindquist coordinates, field for sufficiently large masses. Some, but not all, numerical investigations find instability of the reduced field for rotational parameters extremely close to . Among others, the paper derives a model problem for the equation which supports the instability of the field down to a/M approximate to 0.97.

引用

页码：203 / 227

页数：25

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