强场引力波通量的共振增强和减弱
Resonantly enhanced and diminished strong-field gravitational-wave fluxes
摘要：
恒星质量（$1 - 100\,M_\odot$）致密体进入大质量（$10^5 - 10^7\,M_\odot$）黑洞的螺旋一直是人们努力的焦点，既因为这样的系统有望成为引力波的天体物理源，也因为它们是广义相对论两体问题的一个干净的极限。近年来，我们对这个问题的理解有了很大的进步，在模拟小物体与其自身时空变形相互作用所产生的“自作用力”方面取得了很大进展。最近的研究表明，当轨道的$θ$和$r$运动的频率是整数比时，这种自相互作用特别有趣：$Ω_θ/Ω_r = β_θ/β_r$，其中$β_θ$和$β_r$都是整数。在本文中，我们表明，这种“共振”轨道的自相互作用的关键方面可以理解一个相对简单的Teukolsky方程为基础的计算引力波通量。我们发现，从共振轨道的通量依赖于径向和角向运动的相对相位。本文的目的是说明在简单的条款如何产生这种相位依赖性使用的工具，是好的强场轨道，并提出了第一次研究如何强烈的通量变化作为这个相位和其他轨道参数的函数。未来的工作将使用完整的耗散自力来更深入地研究共振和近共振强场效应，这将需要表征如何通过轨道共振演化的二进制。
英文摘要：
The inspiral of a stellar mass ($1 - 100\,M_\odot$) compact body into a massive ($10^5 - 10^7\,M_\odot$) black hole has been a focus of much effort, both for the promise of such systems as astrophysical sources of gravitational waves, and because they are a clean limit of the general relativistic two-body problem. Our understanding of this problem has advanced significantly in recent years, with much progress in modeling the "self force" arising from the small body's interaction with its own spacetime deformation. Recent work has shown that this self interaction is especially interesting when the frequencies associated with the orbit's $θ$ and $r$ motions are in an integer ratio: $Ω_θ/Ω_r = β_θ/β_r$, with $β_θ$ and $β_r$ both integers. In this paper, we show that key aspects of the self interaction for such "resonant" orbits can be understood with a relatively simple Teukolsky-equation-based calculation of gravitational-wave fluxes. We show that fluxes from resonant orbits depend on the relative phase of radial and angular motions. The purpose of this paper is to illustrate in simple terms how this phase dependence arises using tools that are good for strong-field orbits, and to present a first study of how strongly the fluxes vary as a function of this phase and other orbital parameters. Future work will use the full dissipative self force to examine resonant and near resonant strong-field effects in greater depth, which will be needed to characterize how a binary evolves through orbital resonances.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
