标题： 考虑广义相对论效应的球体近似中的白矮星 显示英文标题

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

摘要： 冷白矮星的极限质量最初由E. 斯通在均匀恒星的近似模型中计算得出，并且很快在S. Chandrasekhar 和 L. D. Landau 的论文中基于恒星平衡方程的精确解减少了约20%。 在这里，我们研究了考虑广义相对论效应和有限温度影响的白矮星均匀模型。 这些解以有限的解析公式形式获得，并且对于与精确解相差不超过约20%的质量，通过数值积分恒星平衡微分方程得到。 显示英文摘要

摘要： 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.