星的球状分布

THE SPHERICAL DISTRIBUTION OF STARS

本文应用Euler方程和Schwafdzschild度规求出了星在中心具有黑洞的星团中的分布。结果表明星的分布依赖于多方指数和星离中心的距离。除了得到了已有的结果[1]、[2]和n(r)～r^(-2)外,还得了n(r)～r^(-3)。

In this paper, Euler's equation and Schwarzchild metric have been used to calculate the distribution of stars in a cluster with a black hole at its center. The results show that the distribution depends on both radiur and polytropie index. Besides the know results(n(r)～r^(-9/4), n(r)～r^(-7/4), and n(r)～r^(-2)), another result (n(r)～r^(-3)) has also been obtained.