膜范式的回归？水龙头上的黑洞和弦
The return of the membrane paradigm? Black holes and strings in the water tap
摘要：
几个一般性的论点表明，事件视界的行为就像一个拉伸的膜。我们建议使用这种关系来理解更高维度中黑色物体的引力和动力学。我们提供的证据表明：（i）引力的格雷戈里-Laflamme不稳定性有一个经典的瑞利-高原不稳定性的流体。引力不稳定性的每一个已知特征都可以在流体模型中得到解释。这些特征包括阈值模、色散关系、时间演化和某些相变的临界尺寸。因此，我们认为黑弦的断裂方式与水龙头流出的水破碎成小水滴的方式大致相同。(ii)一般旋转的黑洞也可以用这个类比来理解。特别是，黑色物体的不稳定性和分叉图可以很容易地推断出来。这种对应关系可以而且应该被用作理解和探索更高维度引力物理学的指导工具。
英文摘要：
Several general arguments indicate that the event horizon behaves as a stretched membrane. We propose using this relation to understand gravity and dynamics of black objects in higher dimensions. We provide evidence that (i) the gravitational Gregory-Laflamme instability has a classical counterpart in the Rayleigh-Plateau instability of fluids. Each known feature of the gravitational instability can be accounted for in the fluid model. These features include threshold mode, dispersion relation, time evolution and critical dimension of certain phase transitions. Thus, we argue that black strings break in much the same way as water from a faucet breaks up into small droplets. (ii) General rotating black holes can also be understood with this analogy. In particular, instability and bifurcation diagrams for black objects can easily be inferred. This correspondence can and should be used as a guiding tool to understand and explore physics of gravity in higher dimensions.
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