论文标题
ADS不稳定性：广告引力扰动的共振系统$ {} _ 5 $ in COHOMOMENICE in COHOMENICE the cohomenity-Two Biaxial Bianchi ix ix ansatz
AdS instability: resonant system for gravitational perturbations of AdS${}_5$ in the cohomogeneity-two biaxial Bianchi IX ansatz
论文作者
论文摘要
我们考虑五维真空爱因斯坦方程，共同基因内两轴双轴ix ix ix ansatz中具有负宇宙常数。该模型允许研究AD的稳定性，而无需向能量弹药量添加任何物质，从而分析了真正的坟墓自由度的不稳定性。我们得出共鸣系统并确定世俗的术语。该结果类似于爱因斯坦方程获得的结果，该方程与球形对称，无质量标量场相连，这支持了标量场模型捕获ADS不稳定性问题的相关特征的证据。我们还列出了共振系统相互作用系数的复发关系，这在数值模拟和进一步的分析研究中都可能有用。
We consider five-dimensional, vacuum Einstein equations with negative cosmological constant within cohomogenity-two biaxial Bianchi IX ansatz. This model allows to investigate the stability of AdS without adding any matter to the energy-momentum tensor, thus analyzing instability of genuine gravtational degrees of freedom. We derive the resonant system and identify vanishing secular terms. The results resemble those obtained for Einstein equations coupled to a spherically-symmetric, massless scalar field, backing the evidence that the scalar field model captures well the relevant features of AdS instability problem. We also list recurrence relations for the interaction coefficients of the resonant system, which might be useful in both numerical simulations and further analytical studies.
