标题： 旋转粘性流体的非黎曼涡旋几何与声学洛伦兹不变性的破坏 显示英文标题

标题： Non-Riemannian vortex geometry of rotational viscous fluids and breaking of the acoustic Lorentz invariance

摘要： 声学扭转最近在文献中被引入（Garcia de Andrade，PRD（2004），7，64004），现在扩展到由广义纳维-斯托克斯方程表示的旋转不可压缩粘性流体。 流体背景与黎曼-卡坦无质量标量波方程进行比较，允许以声学扭转的形式推广Unruh声学度规，该形式用流体的粘度、速度和涡度来表示。 在这项工作中，背景涡度不为零，但流动的扰动也是旋转的，这避免了背景涡度对无旋扰动的污染问题。 由于声学扭转的存在，声学洛伦兹不变性被破坏，这与Kostelecky最近提出的黎曼-卡坦引力情况非常相似（PRD 69，2004，105009）。 给出了一个描述声学度规的类比引力的例子，基于平移环，其中声学扭转由兰斯-蒂林旋转给出，声学线元对应于兰斯-蒂林度规。 显示英文摘要

摘要： Acoustic torsion recently introduced in the literature (Garcia de Andrade,PRD(2004),7,64004) is extended to rotational incompressible viscous fluids represented by the generalised Navier-Stokes equation. The fluid background is compared with the Riemann-Cartan massless scalar wave equation, allowing for the generalization of Unruh acoustic metric in the form of acoustic torsion, expressed in terms of viscosity, velocity and vorticity of the fluid. In this work the background vorticity is nonvanishing but the perturbation of the flow is also rotational which avoids the problem of contamination of the irrotational perturbation by the background vorticity. The acoustic Lorentz invariance is shown to be broken due to the presence of acoustic torsion in strong analogy with the Riemann-Cartan gravitational case presented recently by Kostelecky (PRD 69,2004,105009). An example of analog gravity describing acoustic metric is given based on the teleparallel loop where the acoustic torsion is given by the Lense-Thirring rotation and the acoustic line element corresponds to the Lense-Thirring metric.