Weakly Turbulent Instability of Anti-de Sitter Spacetime

被引：372

作者：

Bizon, Piotr ^{[1
,2
]}

Rostworowski, Andrzej ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Phys, Krakow, Poland

[2] Albert Einstein Inst, Max Planck Inst Gravitat Phys, Golm, Germany

来源：

PHYSICAL REVIEW LETTERS | 2011年 / 107卷 / 03期

关键词：

GRAVITATIONAL COLLAPSE; EXISTENCE; EQUATIONS; DYNAMICS; FIELD;

D O I：

10.1103/PhysRevLett.107.031102

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the nonlinear evolution of a weakly perturbed anti-de Sitter (AdS) space by solving numerically the four-dimensional spherically symmetric Einstein-massless-scalar field equations with negative cosmological constant. Our results suggest that AdS space is unstable under arbitrarily small generic perturbations. We conjecture that this instability is triggered by a resonant mode mixing which gives rise to diffusion of energy from low to high frequencies.

引用

页数：4

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