标题： 引力波记忆的精确计算 显示英文标题

标题： Accurate calculation of gravitational wave memory

摘要： 引力波记忆是广义相对论的重要预测。 引力波记忆的探测可用于检验广义相对论并推断引力波源的特性。 定量模型对于这种探测和信号解释非常重要。 以往关于引力波记忆的研究总是使用引力波的能量通量来计算记忆。 这种引力波能量与记忆之间的关系仅在后牛顿近似中得到了验证。 关于引力波记忆的数值相对论结果尚不令人信服。 准确计算记忆是非常需要的。 在这里，我们提出了一种新的计算引力波记忆的方法。 该方法基于Bondi-Metzner-Sachs理论。 因此，我们的方法不需要引力波源的慢运动和弱场条件。 如果已知非记忆波形，我们的新方法可以准确计算记忆。 作为例子，我们将该方法与关于双黑洞合并非记忆波形的成熟数值相对论结果相结合。 我们计算了可用于辅助记忆探测和引力波源理解的记忆波形。 我们的计算结果确认了关于记忆的初步数值相对论结果。 我们发现了记忆振幅对两个自旋对齐黑洞的质量比和自旋的依赖性。 显示英文摘要

摘要： Gravitational wave memory is an important prediction of general relativity. The detection of the gravitational wave memory can be used to test general relativity and to deduce the property of the gravitational wave source. Quantitative model is important for such detection and signal interpretation. Previous works on gravitational wave memory always use the energy flux of gravitational wave to calculate memory. Such relation between gravitational wave energy and memory has only been validated for post-Newtonian approximation. The result of numerical relativity about gravitational wave memory is not confident yet. Accurately calculating memory is highly demanded. Here we propose a new method to calculate the gravitational wave memory. This method is based on Bondi-Metzner-Sachs theory. Consequently our method does not need slow motion and weak field conditions for gravitational wave source. Our new method can accurately calculate memory if the non-memory waveform is known. As an example, we combine our method with matured numerical relativity result about non-memory waveform for binary black hole coalescence. We calculate the waveform for memory which can be used to aid memory detection and gravitational wave source understanding. Our calculation result confirms preliminary numerical relativity result about memory. We find out the dependence of the memory amplitude to the mass ratio and the spins of the two spin aligned black holes.