标题： 静态黑洞瓶的膜范式 显示英文标题

标题： Membrane paradigm of the static black bottle

摘要： 在黑洞的膜范式中，通常假设拉伸视界的法向量加速度为零。 这一假设在最近在渐近反德西特时空发现的一类解——黑洞瓶中失效。 在本文中，膜范式被推广到法向量具有非零加速度的拉伸视界，并将其应用于静态黑洞瓶。 在这个例子中，膜应力张量和流体量与黑洞的情况相似，而在接近视界极限下，流体连续性方程和纳维-斯托克斯方程均得到良好满足。 显示英文摘要

摘要： In the membrane paradigm of black holes, it is usually assumed that the normal vector of the stretched horizon has a vanishing acceleration. This assumption breaks down for black bottles, a class of solutions discovered recently in the asymptotically anti-de Sitter spacetime. In this paper, the membrane paradigm is generalized to the stretched horizon with a nonvanishing acceleration of normal vector, and then it is applied to the static black bottle. In this example, the membrane stress tensor and the fluid quantities are similar to those of black holes, while the fluid continuity equation and the Navier-Stokes equation are well satisfied in the near-horizon limit.