关于β平衡中自引力中子、质子和电子的平衡
On the equilibrium of self-gravitating neutrons, protons and electrons in β-equilibrium
摘要：
我们最近证明了在$β$ -平衡的简并中子、质子和电子的自引力系统中，不可能强加局域电荷中性条件。广义相对论性的Einstein-麦克斯韦方程组与Einstein-Fermi方程组的耦合系统取代了传统的Tolman-Oppenheimer-Einstein方程组。本文给出了新平衡方程的牛顿极限。我们还将这种处理方法推广到有限温度的情形，最后给出了有限温度下Klein势不变的显式证明，推广了零温度下广义相对论费米能不变的条件。
英文摘要：
We have recently proved the impossibility of imposing the condition of local charge neutrality in a self-gravitating system of degenerate neutrons, protons and electrons in $β$-equilibrium. The coupled system of the general relativistic Thomas-Fermi equations and the Einstein-Maxwell equations have been shown to supersede the traditional Tolman-Oppenheimer-Volkoff equations. Here we present the Newtonian limit of the new equilibrium equations. We also extend the treatment to the case of finite temperatures and finally we give the explicit demonstration of the constancy of the Klein potentials in the case of finite temperatures generalizing the condition of constancy of the general relativistic Fermi energies in the case of zero temperatures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
