标题： 无旋涡的扭转环几何结构 显示英文标题

标题： Irrotational vortex geometry of torsion loops

摘要： 无旋涡流几何特性通过显示在$(1+1)$维度中，扭环和非径向流动声学度规是共形等价的，而在$(2+1)$维时空中的径向流动声学时空是共形相关的来展示。 二维空间的分析使我们能够用扭环度规的参数来表示流体密度。 这些结果使我们得出结论，涡流的声学度规是扭环时空的引力类比。 由于没有考虑流体中的涡量，我们在经典流体中没有明确使用涡流声学的非黎曼几何。 显示了声学非径向流动与扭环度规有完全的类比。 显示英文摘要

摘要： The irrotational vortex geometry carachter of torsion loops is displayed by showing that torsion loops and nonradial flow acoustic metrics are conformally equivalent in $(1+1)$ dimensions while radial flow acoustic spacetime are conformally related in $(2+1)$ dimensional spacetime. The analysis of 2-dimensional space allows us to express the fluid density in terms of the parameters of torsion loop metric. These results lead us to conclude that the acoustic metric of vortex flows is the gravitational analog of torsion loop spacetime. Since no vorticity in the fluids is considered we do not make explicit use of non-Riemannian geometry of vortex acoustics in classical fluids. Acoustic nonradial flows are shown to exihibit a full analogy with torsion loop metric.