$n=1$匀转自引力多面体的有效几何
The effective geometry of the $n=1$ uniformly rotating self-gravitating polytrope
摘要：
本文用\lq \lq有效几何方法研究了理想正压牛顿自引力旋转可压缩流体的扰动。研究了指数为$n=1$的均匀旋转多面体的情况，这是由于它的分析易处理性。特别注意的是专门的基本背景声学度量的几何特性，特别是零测地线以及模拟光锥结构上的重点。
英文摘要：
The \lq\lq effective geometry" formalism is used to study the perturbations of a perfect barotropic Newtonian self-gravitating rotating and compressible fluid coupled with gravitational backreaction. The case of a uniformly rotating polytrope with index $n=1$ is investigated, due to its analytical tractability. Special attention is devoted to the geometrical properties of the underlying background acoustic metric, focusing in particular on null geodesics as well as on the analog light cone structure.
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