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arXiv 2108.05445gr-qc
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两体散射过程中高阶尾对能量和angular momentum通量的贡献

Higher-order tail contributions to the energy and angular momentum fluxes in a two-body scattering process

Donato Bini, Andrea Geralico

摘要:

对越来越精确的引力波模板的需求要求考虑双星系统对引力辐射发射的所有可能贡献。因此,在多极后闵可夫斯基框架内工作,以描述源多极矩的引力波场,主要的瞬时效应应补充由多极之间的非线性相互作用产生的遗传贡献。后者的影响被称为尾巴被描述的积分取决于过去的历史来源。我们计算高阶尾(即,尾的尾和尾平方)的贡献,能量和角动量通量和它们的平均值沿双曲线轨道在领先的后牛顿近似,使用调和坐标和工作在傅立叶域。由于最近在确定两体系统中的散射角的几种互补的方法,知识的准确性水平的提高,这些条款将提供有用的信息,比较不同的形式化的结果。

英文摘要:

The need for more and more accurate gravitational wave templates requires taking into account all possible contributions to the emission of gravitational radiation from a binary system. Therefore, working within a multipolar-post-Minkowskian framework to describe the gravitational wave field in terms of the source multipole moments, the dominant instantaneous effects should be supplemented by hereditary contributions arising from nonlinear interactions between the multipoles. The latter effects are referred to as tails being described in terms of integrals depending on the past history of the source. We compute higher-order tail (i.e., tail-of-tail and tail-squared) contributions to both energy and angular momentum fluxes and their averaged values along hyperboliclike orbits at the leading post-Newtonian approximation, using harmonic coordinates and working in the Fourier domain. Due to the increasing level of accuracy recently achieved in the determination of the scattering angle in a two-body system by several complementary approaches, the knowledge of these terms will provide useful information to compare results from different formalisms.

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