旋转牛顿位形的Hartle形式
Hartle formalism for rotating Newtonian configurations
摘要：
我们应用哈特尔形式主义来研究牛顿引力框架下的平衡位形。这种方法使人们能够以一种简单的方式研究流体静力平衡中静止和静止旋转恒星的内部引力场的性质。结果表明，引力平衡条件减少到一个系统的常微分方程，可以积分数值。我们推导了所有的相关方程，直到二阶的角速度。此外，我们发现明确的总质量，转动惯量，四极矩，极和赤道半径，和偏心率的旋转体。我们还介绍了计算引力勒夫数的过程。我们测试的情况下，白矮星的形式主义，并显示其与文献中的已知结果的兼容性。
英文摘要：
We apply the Hartle formalism to study equilibrium configurations in the framework of Newtonian gravity. This approach allows one to study in a simple manner the properties of the interior gravitational field in the case of static as well as stationary rotating stars in hydrostatic equilibrium. It is shown that the gravitational equilibrium conditions reduce to a system of ordinary differential equations which can be integrated numerically. We derive all the relevant equations up to the second order in the angular velocity. Moreover, we find explicitly the total mass, the moment of inertia, the quadrupole moment, the polar and equatorial radii, and the eccentricity of the rotating body. We also present the procedure to calculate the gravitational Love number. We test the formalism in the case of white dwarfs and show its compatibility with the known results in the literature.
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