恒星的电非中性基态
广义相对论与量子宇宙学
2021-02-08 v1 太阳与恒星天体物理
摘要
为近似计算电非中性恒星的非相对论基态，Krivoruchenko、Nadyozhin和Yudin最近引入并部分求解了一个精确可解模型。该模型将著名的指数为的多方气体球的Lane--Emden方程推广到双流体情形。此处给出其用简单初等函数表示的完整解；并推广到多于双流体的情形，仍保持精确可解。表明在给定核数目的条件下，存在最大负电荷与最大正电荷解，以及在这些极值间插值的一连续解族。数值比较表明该精确可解模型捕捉了其旨在近似的更具物理性模型的定性行为。此外，它正确回答了问题：恒星能有多非中性？答案与光速和普朗克量子无关。它支持Penrose的弱宇宙监督假说，在于过剩电荷的界限与Reissner--Weyl--Nordström黑洞电荷界限相容。
引用
@article{arxiv.2101.03398,
title = {Electrically non-neutral ground states of stars},
author = {Parker Hund and Michael K. -H. Kiessling},
journal= {arXiv preprint arXiv:2101.03398},
year = {2021}
}
备注
26 pages, 15 figures, to appear in Phys. Rev. D. This preprint is a significant expansion (with its own new title) of about 2/3 of the 18 page preprint arXiv:2008.04501v1 that was split into two pieces. The other 1/3 of arXiv:2008.04501v1 was slightly expanded and became arXiv:2008.04501v2 (with the original title) that will appear in Am. J. Phys