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arXiv 1609.08604gr-qchep-th
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广义相对论中带电尘埃旋转圆盘的旋磁因子

Gyromagnetic factor of rotating disks of electrically charged dust in general relativity

Yu-Chun Pynn, Rodrigo Panosso Macedo, Martin Breithaupt, Stefan Palenta, Reinhard Meinel

摘要:

我们计算了无量纲旋磁比(“$g$ -因子”)的自引力,均匀旋转的磁盘的灰尘与一个恒定的特定电荷$ε$。爱因斯坦-麦克斯韦方程组的这些圆盘解依赖于$ε$和一个“相对论参数”$γ$($0<γ\le 1$),直到一个标度参数。因此,$g$因子是函数$g=g(γ,ε)$。牛顿极限的特征是$γ\ll 1$,而$γ\to 1$导致黑洞极限。对于所有$ε$,$g$ -因子将值$g=1$逼近为$γ\to 0$,将值$g=2$逼近为$γ\to 1$。

英文摘要:

We calculated the dimensionless gyromagnetic ratio ("$g$-factor") of self-gravitating, uniformly rotating disks of dust with a constant specific charge $ε$. These disk solutions to the Einstein-Maxwell equations depend on $ε$ and a "relativity parameter" $γ$ ($0<γ\le 1$) up to a scaling parameter. Accordingly, the $g$-factor is a function $g=g(γ,ε)$. The Newtonian limit is characterized by $γ\ll 1$, whereas $γ\to 1$ leads to a black-hole limit. The $g$-factor, for all $ε$, approaches the values $g=1$ as $γ\to 0$ and $g=2$ as $γ\to 1$.

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。

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