相对论静态磁化有限薄圆盘：精确解的无穷族
Relativistic static magnetized finite thin disk: An infinite family of exact solutions
摘要：
提出了一个无限族的相对论性有限薄圆盘模型，其中含有磁场。本文利用Horski-Mitskievitch生成猜想，得到了求解静态时空Einstein-麦克斯韦方程组的模型。这些解的真空极限是著名的Morgan和Morgan解。所得到的表达式简单地写成扁球坐标。圆盘的质量是有限的，能量-动量张量满足所有的能量条件。明确地计算了磁场和圆速度。获得的所有物理量均显示出可接受的
英文摘要：
An infinite family of relativistic finite thin disk model with magnetic field is presented. The model is obtained for solving the Einstein-Maxwell equations for static spacetimes by means of the Horský-Mitskievitch generating conjecture. The vacuum limit of these obtained solutions is the well known Morgan and Morgan solution. The obtained expressions are simply written in terms of oblate spheroidal coordinates. The mass of the disks are finite and the energy-momentum tensor agrees with all the energy conditions. The magnetic field and the circular velocity are evaluated explicitly. All the physical quantities obtained shown an acceptable
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