Nonlinear instability of scalar fields on extremal black holes

被引：37

作者：

Aretakis, Stefanos ^{[1
,2
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Inst Adv Study, Princeton, NJ 08540 USA

来源：

PHYSICAL REVIEW D | 2013年 / 87卷 / 08期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevD.87.084052

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We prove a new type of finite time blowup for a class of semilinear wave equations on extremal black holes. The initial data can be taken to be arbitrarily close to the trivial data. The first singularity occurs along the (degenerate) future event horizon. No analogue of this instability occurs for subextremal black holes or the Minkowski spacetime. DOI: 10.1103/PhysRevD.87.084052

引用

页数：3

共 20 条

[1]

ANDERSSON L, ARXIV09082265

[2]

Aretakis S., ARXIV12066598

[3]

Aretakis S., ARXIV12121103

[4] Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds [J].

Aretakis, Stefanos .

JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 263 (09) :2770-2831

[5] Stability and Instability of Extreme Reissner-Nordstrom Black Hole Spacetimes for Linear Scalar Perturbations II [J].

Aretakis, Stefanos .

ANNALES HENRI POINCARE, 2011, 12 (08) :1491-1538

[6] Stability and Instability of Extreme Reissner-Nordstrom Black Hole Spacetimes for Linear Scalar Perturbations I [J].

Aretakis, Stefanos .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 307 (01) :17-63

[7] A remark about wave equations on the extreme Reissner-Nordstrom black hole exterior [J].

Bizon, Piotr ;

Friedrich, Helmut .

CLASSICAL AND QUANTUM GRAVITY, 2013, 30 (06)

[8]

Dafermos M., 2009, XVIth International Congress on Mathematical Physics

[9]

Dafermos M., 2011, P 12 M GROSSM M GEN, P132

[10]

Dafermos M., ARXIV10105132

← 1 2 →