发表机构
University College Dublin; University of Aveiro; Center for Research and Development in Mathematics and Applications (CIDMA)（都柏林大学学院; 阿威罗大学; 数学与应用研究中心与发展中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过求解完整非线性爱因斯坦方程，在渐近 AdS4 时空中构造湍流引力尾迹，发现其边界动力学呈现相干涡旋结构并具有经典湍流尾迹的自相似标度，首次研究了四维渐近 AdS 时空中的湍流引力尾迹。
AI 中文摘要
我们通过求解特征形式下的完整非线性爱因斯坦方程，在渐近 AdS$_4$ 时空中构造了湍流引力尾迹。具体而言，我们表明，作用于加速黑膜上的局域边界形变会产生尾迹，其边界动力学展现出相干涡旋结构的形成，这些结构被背景流向下游平流输运。通过分析沿 x 方向传播的尾迹，我们展示了其具有经典湍流尾迹的特征自相似标度。随后，我们识别了尾迹在视界面积密度、无迹视界外曲率以及体度规扰动上的几何印记，发现了从渐近边界延伸至视界的相干结构。这些结果提供了四维渐近 AdS 时空中湍流引力尾迹的首次研究。
英文摘要
We construct turbulent gravitational wakes in asymptotically AdS$_4$ spacetimes by solving the full non-linear Einstein equations in the characteristic formulation. Specifically, we show that a localized boundary deformation acting on a boosted black brane generates a wake whose boundary dynamics exhibit the formation of coherent vortical structures that are advected downstream by the background flow. Analysing a wake propagating along the x direction, we show that it displays the characteristic self-similar scaling of classical turbulent wakes. We then identify the geometric imprint of the wake on the horizon area density, the traceless horizon extrinsic curvature, and bulk metric perturbations, finding coherent structures that extend from the asymptotic boundary to the horizon. These results provide the first study of turbulent gravitational wakes in four-dimensional asymptotically AdS spacetimes.
