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arXiv 0811.2381hep-thgr-qc
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作为流体块的黑洞

Black Holes as Lumps of Fluid

Marco M. Caldarelli, Oscar J. C. Dias, Roberto Emparan, Dietmar Klemm

摘要:

以前的一个有启发性的观察是,黑洞常常类似于流体块,但最近这个观察已经超越了类比的水平,达到了精确的二元性。我们调查方面的这种双重性,特别是澄清面积最小化的流体与面积最大化的黑洞视界之间的关系,和表面张力和曲率的流体之间的连接,和表面重力的黑洞。我们还认为,在流体管中的瑞利-高原不稳定性是全息对偶的黑弦的格雷戈里-Laflamme不稳定性。与这种流体不稳定性相关的是,我们详细研究了各种各样的流体溶液相,特别是旋转的影响。我们将它们与已知的渐近平坦黑洞结果进行比较,发现非常一致。此外,我们使用我们的流体结果来讨论引力系统的未知特性。最后,我们做了一些观察,表明渐近平坦的黑洞可能承认在大量的维度的限制流体的描述。

英文摘要:

The old suggestive observation that black holes often resemble lumps of fluid has recently been taken beyond the level of an analogy to a precise duality. We investigate aspects of this duality, and in particular clarify the relation between area minimization of the fluid vs. area maximization of the black hole horizon, and the connection between surface tension and curvature of the fluid, and surface gravity of the black hole. We also argue that the Rayleigh-Plateau instability in a fluid tube is the holographic dual of the Gregory-Laflamme instability of a black string. Associated with this fluid instability there is a rich variety of phases of fluid solutions that we study in detail, including in particular the effects of rotation. We compare them against the known results for asymptotically flat black holes finding remarkable agreement. Furthermore, we use our fluid results to discuss the unknown features of the gravitational system. Finally, we make some observations that suggest that asymptotically flat black holes may admit a fluid description in the limit of large number of dimensions.

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