关于反德西特空间的弱湍流不稳定性
广义相对论与量子宇宙学
2011-09-05 v5 高能物理 - 理论
偏微分方程分析
摘要
我们通过数值求解具有负宇宙学常数的四维球对称爱因斯坦-无质量标量场方程，研究弱扰动反德西特（AdS）时空的非线性演化。我们的结果表明，AdS时空在任意小的通用扰动下是不稳定的。我们推测，这种不稳定性由共振模式混合触发，导致能量从低频向高频扩散。
引用
@article{arxiv.1104.3702,
title = {On weakly turbulent instability of anti-de Sitter space},
author = {Piotr Bizoń and Andrzej Rostworowski},
journal= {arXiv preprint arXiv:1104.3702},
year = {2011}
}
备注
4 pages, 4 figures. Oops, in the previous versions the values of parameters of initial data and horizon radii were given by mistake in units used by us in numerical simulations $\ell=2/\pi$, instead of $\ell=1$. This mistake in Eq.(9) is corrected and the vertical axis in Fig.1 is rescaled accordingly