论文标题
reissner-nordströmspaceTimes的bona-massó
Bona-Massó slices of Reissner-Nordström spacetimes
论文作者
论文摘要
通过最近对带电的黑洞及其相互作用的数值相对性模拟的动机，我们探索了reissner-nordström平台中常见切片条件的特性。具体而言，我们考虑了所谓的Bona-Massó函数的不同选择，并构建了Reissner-Nordström时空的静态和球形对称切片，满足相应的切片条件。对于其中一些功能，构造完全是分析性的，而对于其他功能，我们使用数值根找到求解四分之一的方程。我们的解决方案通过电荷与质量比$λ= q/m $进行参数化，并接近独特的切片，独立于此处考虑的bona-massó函数，在极限$λ\至1 $中。
Motivated by recent numerical relativity simulations of charged black holes and their interactions, we explore the properties of common slicing conditions in Reissner-Nordström spacetimes. Specifically, we consider different choices for the so-called Bona-Massó function, and construct static and spherically symmetric slices of the Reissner-Nordström 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 $λ= Q/M$ and approach a unique slice, independent of the Bona-Massó functions considered here, in the extremal limit $λ\to 1$.
