标题： 雷斯纳-诺德斯特罗姆时空的博纳-马索片 显示英文标题

标题： Bona-Massó slices of Reissner-Nordström spacetimes

摘要： 受电荷黑洞及其相互作用的近期数值相对论模拟的启发，我们研究了Reissner-Nordström时空中常见切片条件的性质。 具体而言，我们考虑所谓的Bona-Massó函数的不同选择，并构建满足相应切片条件的静态和球对称的Reissner-Nordström时空切片。 对于其中一些函数，构造完全是解析的，而对于其他函数，我们使用数值根查找来求解四次方程。 我们的解由电荷与质量比$\lambda = Q/M$参数化，并在极端极限$\lambda \to 1$时趋于一个与这里考虑的Bona-Massó函数无关的独特切片。 显示英文摘要

摘要： Motivated by recent numerical relativity simulations of charged black holes and their interactions, we explore the properties of common slicing conditions in Reissner-Nordstr\"om spacetimes. Specifically, we consider different choices for the so-called Bona-Mass\'o function, and construct static and spherically symmetric slices of the Reissner-Nordstr\"om spacetime satisfying the corresponding slicing conditions. For some of these functions the construction is entirely analytical, while for others we use numerical root-finding to solve quartic equations. Our solutions are parameterized by the charge-to-mass ratio $\lambda = Q/M$ and approach a unique slice, independent of the Bona-Mass\'o functions considered here, in the extremal limit $\lambda \to 1$.