Abstract

The evolution of a single uncharged black hole with the moving puncture method, considering suitable gauge conditions, leads to a time-independent maximal slicing of Schwarzschild spacetime. This configuration was constructed numerically and later analytically. We proceed here taking an inverse path: We first derived the analytical solution representing time-independent maximal slicing of Reissner–Nordstrom spacetime and show that it is a final state dictated by the moving puncture evolution using appropriate gauge conditions.

中文翻译：

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带电黑洞穿刺溶液的分析表示

摘要

考虑到合适的规范条件，使用移动穿刺方法的单个不带电黑洞的演化导致了史瓦西时空的与时间无关的最大切片。该配置是通过数值构建的，然后通过分析构建的。我们在这里采取相反的路径：我们首先推导了代表赖斯纳-诺德斯特罗姆时空与时间无关的最大切片的解析解，并表明它是使用适当的规范条件由移动穿刺演化决定的最终状态。