标题： 常平均曲率的雷斯纳-诺德斯特伦时空片 显示英文标题

标题： Constant Mean Curvature Slices of the Reissner-Nordström Spacetime

摘要： 为了通过类空超曲面对时空进行分层，我们需要对初始数据施加一些限制，并由此推导出计算度规函数$\alpha$的方法，该函数沿法线方向测量相邻超曲面之间的固有时和间隔。 在这里，我们研究一种称为常平均曲率（CMC）分层的预设分层。 这种分层将被应用于瑞斯纳-诺德斯特伦度规，并且所得的切片将被研究，然后与扩展的施瓦茨希尔德解的切片进行比较。 显示英文摘要

摘要： In order to specify a foliation of spacetime by spacelike hypersurfaces we need to place some restriction on the initial data and from this derive a way to calculate the lapse function $\alpha$ which measures the proper time and interval between neighbouring hypersurfaces along the normal direction. Here we study a prescribed slicing known as the Constant Mean Curvature (CMC) slicing. This slicing will be applied to the Reissner-Nordstr\"{o}m metric and the resultant slices will be investigated and then compared to those of the extended Schwarzschild solution.