磁化Morgan-Morgan相对论薄圆盘的无限族
An infinite family of magnetized Morgan-Morgan relativistic thin disks
摘要：
将Horski-Mitskievitch猜想应用于Morgan和Morgan关于有限圆盘引力场的空空间解，得到了Einstein-麦克斯韦方程组的相应解.所得的表达式简单地写成扁球坐标，其解表示有限延伸的磁化静态薄圆盘的场。现在，虽然解不是渐近平坦的，但圆盘的质量是有限的，能量-动量张量符合能量条件。此外，磁场和圆速度显示出可接受的物理行为。
英文摘要：
Applying the Horský-Mitskievitch conjecture to the empty space solutions of Morgan and Morgan due to the gravitational field of a finite disk, we have obtained the corresponding solutions of the Einstein-Maxwell equations. The resulting expressions are simply written in terms of oblate spheroidal coordinates and the solutions represent fields due to magnetized static thin disk of finite extension. Now, although the solutions are not asymptotically flat, the masses of the disks are finite and the energy-momentum tensor agrees with the energy conditions. Furthermore, the magnetic field and the circular velocity show an acceptable physical behavior.
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