Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry

被引：0

作者：

Finster, Felix ^{[1
]}

Smoller, Joel ^{[2
]}

机构：

[1] Univ Regensburg, NWF I Math, D-93040 Regensburg, Germany

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS | 2009年 / 13卷 / 01期

基金：

美国国家科学基金会;

关键词：

ROTATING BLACK-HOLE; DIRAC PARTICLES; WAVE-EQUATION; PERTURBATIONS; STABILITY; COLLAPSE; FIELDS; SCALAR;

D O I：

暂无

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We prove that the Schwarzschild black hole is linearly stable under electromagnetic and gravitational perturbations. Our method is to show that for spin s = 1 or s = 2, solutions of the Teukolsky equation with smooth, compactly supported initial data outside the event horizon, decay in L-loc(infinity).

引用

页码：71 / 110

页数：40

共 28 条

[1]

Abramowitz M., 1972, HDB MATH FUNCTIONS F

[2] Superradiance and scattering of the charged Klein-Gordon field by a step-like electrostatic potential [J].