标题： 一个近似二进制黑洞度规 显示英文标题

标题： An approximate binary-black-hole metric

摘要： 通过将后牛顿度规与两个受扰施瓦茨希尔德度规匹配，构造了一个近似解，该解表示两个相距较远的非旋转黑洞在圆轨道上的爱因斯坦方程。 时空度规在一个有效的坐标系中给出，直至黑洞的视界。 该度规可能在双黑洞数值模拟中很有用。 从此度规中提取的初始数据具有与双星系统的早期旋进阶段相关的优势，并且不包含虚假的引力波。 显示英文摘要

摘要： An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric is presented in a single coordinate system valid up to the apparent horizons of the black holes. This metric could be useful in numerical simulations of binary black holes. Initial data extracted from this metric have the advantages of being linked to the early inspiral phase of the binary system, and of not containing spurious gravitational waves.