Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime

被引：49

作者：

Shlapentokh-Rothman, Yakov ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

ANNALES HENRI POINCARE | 2015年 / 16卷 / 01期

基金：

美国国家科学基金会;

关键词：

BLACK-HOLE; DECAY; SCHWARZSCHILD; PERTURBATIONS; RESONANCES; ENERGY;

D O I：

10.1007/s00023-014-0315-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a| < M). As an application, we are able to quantitatively control the energy flux along the horizon and null infinity and establish integrated local energy decay for solutions to the wave equation in any bounded-frequency regime.

引用

页码：289 / 345

页数：57

共 36 条

[31] PERTURBATIONS OF A ROTATING BLACK HOLE .2. DYNAMICAL STABILITY OF KERR METRIC [J].