Effective one-body theory of spinless binary evolution dynamics

IF 7.5 1区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Science China Physics, Mechanics & Astronomy Pub Date : 2025-09-08 DOI:10.1007/s11433-025-2758-5

Jiliang Jing, Sheng Long, Weike Deng, Jieci Wang

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Abstract

The effective one-body (EOB) theory provides an innovative framework for analyzing the dynamics of binary systems, as articulated by Hamilton’s equations. This paper investigates a self-consistent EOB theory specifically tailored for the dynamics of such systems. Our methodology begins by emphasizing how to effectively utilize the metrics derived from scattering angles in the analysis of binary black hole mergers. We then construct an effective Hamiltonian and formulate a decoupled, variable-separated Teukolsky-like equation for ψ ^B₄ . Furthermore, we present the formal solution to this equation, detailing the energy flux, radiation-reaction force (RRF), and waveforms for the “plus” and “cross” modes generated by spinless binaries. Finally, we carry out numerical calculations using the EOB theory and compare the results with numerical relativity (NR) data from the SXS collaboration. The results indicate that to the innermost stable circular orbit, the binding energy—angular momentum relation differs from the NR results by less than 5‰, with a larger mass ratio yielding better agreement.

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无自旋二元演化动力学的有效一体理论

有效单体（EOB）理论为分析二元系统的动力学提供了一个创新的框架，正如汉密尔顿方程所阐述的那样。本文研究了一种专门针对此类系统动力学的自洽EOB理论。我们的方法首先强调如何有效地利用从散射角得到的度量来分析双黑洞合并。然后，我们构造了一个有效的哈密顿量，并为ψ B4制定了一个解耦的、变量分离的Teukolsky-like方程。此外，我们给出了该方程的形式解，详细说明了由无自旋双星产生的“正”和“交叉”模式的能量通量、辐射反作用力（RRF）和波形。最后，我们利用EOB理论进行了数值计算，并与SXS合作的数值相对论（NR）数据进行了比较。结果表明，在最内层稳定圆轨道上，结合能-角动量关系与NR结果的差异小于5‰，质量比越大，一致性越好。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Science China Physics, Mechanics & Astronomy PHYSICS, MULTIDISCIPLINARY-

CiteScore

10.30

自引率

6.20%

发文量

4047

审稿时长

3 months

期刊介绍： Science China Physics, Mechanics & Astronomy, an academic journal cosponsored by the Chinese Academy of Sciences and the National Natural Science Foundation of China, and published by Science China Press, is committed to publishing high-quality, original results in both basic and applied research. Science China Physics, Mechanics & Astronomy, is published in both print and electronic forms. It is indexed by Science Citation Index. Categories of articles: Reviews summarize representative results and achievements in a particular topic or an area, comment on the current state of research, and advise on the research directions. The author’s own opinion and related discussion is requested. Research papers report on important original results in all areas of physics, mechanics and astronomy. Brief reports present short reports in a timely manner of the latest important results.