论文标题
在静水平衡方程的推导下
On the derivations of the Equation of Hydrostatic Equilibrium
论文作者
论文摘要
我们开发并呈现带有广义应力张量的球形对称恒星中静液压平衡方程的几何和分析推导。分析推导基于Navier-Cauchy方程。我们还批判性地研究了在恒星天体物理学的教科书中发现的该方程式的推导,并表明教科书中介绍的许多派生中都有错误。
We develop and present a geometrical and an analytical derivation of the equation of hydrostatic equilibrium in spherically symmetric stars with a generalized stress tensor. The analytical derivation is based on the Navier-Cauchy equation. We also critically examine the derivation of this equation found in textbooks on stellar astrophysics and show that there are errors in many of the derivations presented in textbooks.