半简并费密子自引力系统的平衡位形  

The Semidegenerate Configurations of a Selfgravitating System of Fermions

作　　者：高建功 M.Merafina R.Ruffini 

机构地区：[1]乌鲁木齐天文站 [2]意大利罗马大学

出　　处：《天体物理学报》1991年第4期297-305,共9页

基　　金：国家自然科学基金

摘　　要：本文讨论半简并费密子自引力系统的平衡位形,将基于热力学量级数展开的计算结果与直接计算Fermi积分得到的精确值作了对比,指出了级数展开法的适用范围。对温度T不为零的任何值,不论中心密度如何,远离中心处的密度总是按r^(-2)降低,位形的质量和半径总是无限的。The semidegenerate equilibrium configurations of a selfgravitating system of fermions have usually been treated by an expansion of the thermodynamical quantities around the fully degenerate values. It is shown how such an expansion is critical in the low density regimes where in general a distribution function far from the degenerate state applies. This point is explicitly illustrated by comparing and contrasting the results based on a first and second order expansion from the fully degenerate values with the exact ones. These exact values have been obtained by a direct compulation of the Fermi integrals. We find that for any value of the temperature T ≠ 0, a system of selfgravitating fermions leads to a configuration of equilibrium with a density decreasing at large distances as p-r-2, which quite independ on the value of its central density. The semidegenerate equilibrium configurations of a selfgravitating system of fermions are therefore, always infinite both in masses and radii.

关 键 词：宇宙学 平衡位形 相对论 

分 类 号：P159.2[天文地球—天文学]