论文标题
各向异性膨胀，二阶流体动力学和全息二重
Anisotropic expansion, second order hydrodynamics and holographic dual
论文作者
论文摘要
我们考虑了Kasner时空，描述了RHIC和LHC火球的各向异性三维扩展，并通过考虑二阶相对论粘性水动力学来研究Bjorken的一维扩张的概括。使用依赖时间的AD/CFT对应关系，我们研究Bjorken流的晚期行为。从共形不变性和能量弹药保护的条件下，我们可以根据Kasner参数获得能量密度的明确表达，这是适当时间的函数。根据Kasner参数，还获得了温度和熵的适当时间依赖性。我们考虑Eddington-finkelstein型坐标，并讨论在晚期状态下各向异性膨胀的液体的重力双重。
We consider Kasner space-time describing anisotropic three dimensional expansion of RHIC and LHC fireball and study the generalization of Bjorken's one dimensional expansion by taking into account second order relativistic viscous hydrodynamics. Using time dependent AdS/CFT correspondence, we study the late time behaviour of the Bjorken flow. From the conditions of conformal invariance and energy-momentum conservation, we obtain the explicit expression for the energy density as a function of proper time in terms of Kasner parameters. The proper time dependence of the temperature and entropy have also been obtained in terms of Kasner parameters. We consider Eddington-Finkelstein type coordinates and discuss the gravity dual of the anisotropically expanding fluid in the late time regime.
