标题： 声学Kerr度规在模拟引力中 显示英文标题

标题： Acoustic Kerr Metric in Analogue Gravity

摘要： 本文基于一项先前的工作（涉及本文两位作者），其中提出了一种广义的流体动力学模型。 拉格朗日离散自由度的底层辛结构服从由贝里曲率修正生成的非对易代数。 在欧拉（或哈密顿）框架中，这表现为流体变量之间的扩展代数，从而导致扩展的流体模型。 在此，我们研究生活在这一有效类比引力时空中的声学波动的动力学。 有趣的是，有效度规类似于旋转黑洞的度规；自旋是由底层非对易结构引起的。 以流体参数表示的黑洞的有效质量和自旋参数也得到了识别。 我们的模型与异常霍尔系统的联系可能会导致物理系统中类比黑洞的可观测特征。 显示英文摘要

摘要： The present paper is based on a previous work (involving two of the present authors) where a generalized fluid dynamical model was proposed. The underlying symplectic structure of the Lagrangian discrete degrees of freedom obeyed a Non-Commutative algebra, generated by Berry curvature correction. In an Euler (or Hamiltonian) framework, this is manifested as an extended algebra between the fluid variables, leading to the extended fluid model. Here we study the dynamics of sonic fluctuations that live in this effective analogue gravity spacetime. Interestingly enough, the effective metric resembles that of a spinning Black Hole; the spin is induced by the underlying Non-Commutative structure. The effective mass and spin parameters of the Black Hole, in terms of fluid parameters, are also identified. The connection of our model with anomalous Hall systems may lead to observable signatures of the analogue black hole in physical systems.