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arXiv 1303.3563hep-thgr-qc
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黑色D3-branes的有效流体力学

Effective hydrodynamics of black D3-branes

Roberto Emparan, Veronika E Hubeny, Mukund Rangamani

摘要:

黑D ~ 3-膜世界体积涨落的长波有效场论是一个梯度展开的首阶流体动力学系统。我们研究了系统的基准“截止”表面上:波动的几何形状的表面上通过诱导应力张量,其守恒封装的流体动力学描述的动态印记。对于一个通用的非极值D3膜,当我们移动我们的截止表面从渐近平坦的近边界区域的近地平线区域,这个流体动力学系统之间的非共形相对论流体和非相对论不可压缩流体插值。我们还考虑了D3-膜对极值的依赖性。在近极值的情况下,我们恢复描述中遇到的AdS/CFT上下文中的共形相对论流体。我们认为,这个系统使我们能够探索各种连接,迄今已建议有关的引力系统和流体动力学的动力学。特别是,我们继续表明,黑褶有效场论的方法,使我们能够捕捉到这种流体力学行为,而且包括在流体/重力对应和黑洞膜范式遇到的建设,从而提供了一个通用的语言来探索有效的动态黑膜。

英文摘要:

The long-wavelength effective field theory of world-volume fluctuations of black D3-branes is shown to be a hydrodynamical system to leading order in a gradient expansion. We study the system on a fiducial `cutoff' surface: the fluctuating geometry imprints its dynamics on the surface via an induced stress tensor whose conservation encapsulates the hydrodynamical description. For a generic non-extremal D3-brane, as we move our cutoff surface from the asymptotically flat near-boundary region to the near-horizon region, this hydrodynamical system interpolates between a non-conformal relativistic fluid and a non-relativistic incompressible fluid. We also consider the dependence on the deviation from extremality of the D3-branes. In the near-extremal case we recover the description in terms of a conformal relativistic fluid encountered in the AdS/CFT context. We argue that this system allows us therefore to explore the various connections that have hitherto been suggested relating the dynamics of gravitational systems and fluid dynamics. In particular, we go on to show that the blackfold effective field theory approach allows us to capture this hydrodynamical behaviour and moreover subsumes the constructions encountered in the fluid/gravity correspondence and the black hole membrane paradigm, providing thereby a universal language to explore the effective dynamics of black branes.

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