标题： 精确的相对论静态带电完美流体圆盘 显示英文标题

标题： Exact Relativistic Static Charged Perfect Fluid Disks

摘要： 使用众所周知的“平移、切割和反射”方法，该方法用于从爱因斯坦场方程的给定解生成圆盘，我们基于各向同性坐标中的Reissner-Nordström解构造了由完美流体组成的静态带电圆盘。我们还推导了带电和不带电完美流体圆盘的简单稳定性条件。如预期的那样，我们发现电荷的存在增加了圆盘的不稳定区域。 显示英文摘要

摘要： Using the well-known ``displace, cut and reflect'' method used to generate disks from given solutions of Einstein field equations, we construct static charged disks made of perfect fluid based on the Reissner-Nordstr\"{o}m solution in isotropic coordinates. We also derive a simple stability condition for charged and non charged perfect fluid disks. As expected, we find that the presence of charge increases the regions of instability of the disks.