In previous work [3] we presented a numerical framework to study the impact of gravitational waves on an initially static or stationary system by solving a particular initial boundary value problem for Friedrich’s generalised conformal field equations. This allows us to (at least in principle) follow the evolution for infinitely long physical time and to infinitely large distances. Here, we present the first results from simulations of the response of an initially static Schwarzschild black hole to strong gravitational waves coming in from a large sphere surrounding the black hole. We follow the ensuing non-linear distortions of the space-time and the scattered gravitational waves out to null-infinity obtaining a semi-global evolution. We observe a particular oscillating behaviour of the gravitational field which seems to be related to the onset of quasi-normal ringing. We also verify numerically that the Bondi–Sachs massloss formula is satisfied in our simulation by computing the relevant asymptotic quantities directly on based on the general expressions for the Bondi–Sachs energy–momentum, news and flux derived in a recent paper [10]. This provides a strong check on the accuracy of our numerical computations.

在之前的工作 [3] 中，我们提出了一个数值框架，通过求解弗里德里希广义共形场方程的特定初始边界值问题来研究引力波对初始静态或静止系统的影响。这使我们（至少在原则上）能够在无限长的物理时间和无限远的距离上跟随进化。在这里，我们展示了初始静态史瓦西黑洞对来自黑洞周围大球体的强引力波的响应模拟的第一个结果。我们跟随随之而来的时空和散射引力波的非线性扭曲到零无穷大获得半全局进化。我们观察到引力场的一种特殊振荡行为，这似乎与准正常振铃的开始有关。我们还通过基于最近论文 [10] 中推导出的 Bondi-Sachs 能量-动量、新闻和通量的一般表达式直接计算相关渐近量，在数值上验证了 Bondi-Sachs 质量损失公式在我们的模拟中得到满足。这为我们的数值计算的准确性提供了强有力的检查。