极端质量比极限下的双黑洞散射:时域波形
Binary black hole scattering in the extreme-mass-ratio limit: time-domain waveform
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中文总结 AI 辅助
本研究在极端质量比极限下计算了无自旋双致密体散射的时域引力波波形,精确至第五后闵可夫斯基阶和第七后牛顿阶,为时域与频域方法提供互补比较,并作为未来计算的基准。
中文摘要 AI 辅助
在极端质量比极限下,计算了两个无自旋致密体散射过程中发射的时域引力波波形。该波形提供了相遇过程中引力辐射的时域描述,并补充了先前主要基于频域表述的一阶自力计算结果。由此,本研究结果为辐射动力学提供了互补的表示,并促进了时域与频域方法对引力波信号的直接比较。该波形精确到第五后闵可夫斯基(三圈)阶和第七后牛顿阶,并将作为未来其他方法在质量比一阶下计算的基准。这些结果已在先前的工作中通过构建能量和角动量通量得到验证,从而分别计算了5PM和4PM阶的相应辐射损失,具有相同的后牛顿精度,与近期基于振幅的计算结果一致。
英文摘要
The time-domain gravitational waveform emitted during the scattering of two nonspinning compact bodies is computed in the extreme-mass-ratio limit. It provides a time-domain description of the gravitational radiation emitted during the encounter and complements previous first-order self-force calculations, which have primarily been formulated in the frequency domain. In this way, the present results provide a complementary representation of the radiative dynamics and facilitate a direct comparison between time-domain and frequency-domain approaches to the gravitational-wave signal. The waveform is accurate to the fifth post-Minkowskian (three-loop) level and seventh post-Newtonian order, and will serve as a benchmark for future calculations by other methods, to first order in the mass ratio. The results have been already tested in a previous work by constructing the energy and angular momentum fluxes, thereby computing the corresponding radiative losses at the 5PM and 4PM level, respectively, with the same PN accuracy, which are in agreement with recent amplitude-based calculations.
发表机构
- Istituto per le Applicazioni del Calcolo “M. Picone,” CNR(意大利国家研究委员会计算应用研究所)
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