标题： 缓慢旋转流体构型的离心力和椭率行为与不同的状态方程 显示英文标题

标题： Behaviour of the Centrifugal Force and of Ellipticity for a Slowly Rotating Fluid Configuration with Different Equations of State

摘要： 我们使用Hartle-Thorne解对不同状态方程下的流体元素所受的离心力和流体构型的椭率进行了评估。在每种情况下，离心力都表现出最大值，而在仅有一种情况下可以看到符号的反转，其他情况下系统变得不稳定。根据通常定义计算的椭率显示出最大值，而根据惯性力平衡得到的定义则表现出负行为，表明系统是长形而非扁形。这种长形构型与Pfister和Braun之前使用正确的内部离心力表达式研究旋转物质壳时发现的构型相似。随着状态方程变软，离心力最大值的位置会远离施瓦茨希尔德半径。 显示英文摘要

摘要： We have evaluated the centrifugal force acting on a fluid element and the ellipticity of the fluid configuration, which is slowly rotating, using the Hartle-Thorne solution for different equations of state. The centrifugal force shows a maximum in every case, whereas the reversal in sign could be seen in only one case, and the system becomes unstable in other cases. The ellipticity as calculated from the usual definition shows maxima, whereas the definition obtained from the equilibration of the inertial forces, shows a negative behaviour, indicating that the system is prolate and not oblate. This prolate shape of the configuration is similar to the one earlier found by Pfister and Braun for a rotating shell of matter, using the correct centrifugal force expression for the interior. The location of the centrifugal maxima gets farther away from the Schwarzschild radius as the equation of state gets softer.