Stability and Instability of Extreme Reissner-Nordstrom Black Hole Spacetimes for Linear Scalar Perturbations I

被引：137
作者：
Aretakis, Stefanos [1 ]
机构：
[1] Univ Cambridge, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2011年 / 307卷 / 01期
基金：
欧洲研究理事会;
关键词：
GRAVITATIONAL COLLAPSE; WAVE-EQUATION; UNIFORM DECAY; FIELD; SINGULARITIES; INTERIOR; TIME;
D O I：
10.1007/s00220-011-1254-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the problem of stability and instability of extreme Reissner-Nordstrom spacetimes for linear scalar perturbations. Specifically, we consider solutions to the linear wave equation square(g)psi = 0 on a suitable globally hyperbolic subset of such a spacetime, arising from regular initial data prescribed on a Cauchy hypersurface Sigma(0) crossing the future event horizon H+. We obtain boundedness, decay and non-decay results. Our estimates hold up to and including the horizon H+. The fundamental new aspect of this problem is the degeneracy of the redshift. Several new analytical features of degenerate horizons are also presented.
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收藏
页码：17 / 63
页数：47
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