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arXiv 1107.2134hep-thgr-qc
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流体/重力对应中的全息屏和输运系数

Holographic Screens and Transport Coefficients in the Fluid/Gravity Correspondence

Christopher Eling, Yaron Oz

摘要:

我们考虑在流体/重力对应的框架下,位于全息径向r = r_0的超曲面的动力学。我们证明,这些超曲面的发展,所有订单的衍生扩展,包括所有较高的曲率修正,根据相同的流体动力学方程具有相同的传输系数。分析进行正常流体以及超流体。因此,这证明了arXiv:1103.1657中通过零视界动力学导出的体粘度公式的正确性。

英文摘要:

We consider in the framework of the fluid/gravity correspondence the dynamics of hypersurfaces located in the holographic radial direction at r = r_0. We prove that these hypersurfaces evolve, to all orders in the derivative expansion and including all higher curvature corrections, according to the same hydrodynamics equations with identical transport coefficients. The analysis is carried out for normal fluids as well as for superfluids. Consequently, this proves the exactness of the bulk viscosity formula derived in arXiv:1103.1657 via the null horizon dynamics.

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