论文标题

在统一球近似中的白色矮人,并考虑了一般相对效应

White dwarfs in a uniform sphere approximation, with general relativity effects taken into account

论文作者

Bisnovatyi-Kogan, G. S., Patraman, E. A.

论文摘要

Chandrasekhar S. Chandrasekhar和L. D. Landau在均匀恒星的近似模型中首先通过E. stoner计算了冷白矮人的限制质量,并很快将其在论文中降低了约20%。在这里,我们研究了白矮人的统一模型,并考虑了有限温度的一般相对论效应的影响。溶液是以有限分析公式的形式获得的,对于与精确溶液不同的质量不超过约20%,通过数值整合恒星平衡的数值整合。

The limiting mass of cold white dwarfs was first calculated by E. Stoner in an approximate model of a uniform star and was soon reduced by ~20% in papers by S. Chandrasekhar and L. D. Landau based on an exact solution of the equations for the stellar equilibrium. Here we examine uniform models of white dwarfs taking general relativity effects and the influence of finite temperature into account. Solutions are obtained in the form of finite analytic formulas and, for masses differing by no more than ~20% from the exact solutions, found by numerical integration of the differential equations for the stellar equilibrium.

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