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Elementary considerations on gravitational waves from hyperbolic encounters
General Relativity and Gravitation ( IF 2.1 ) Pub Date : 2024-07-27 , DOI: 10.1007/s10714-024-03276-y
Martin Teuscher , Aurélien Barrau , Killian Martineau

We examine the main properties of gravitational waves (GWs) emitted by transient hyperbolic encounters of black holes. We begin by building the set of basic variables most relevant to setting our problem. After exposing the ranges of masses and eccentricities accessible at a given GW frequency, we analyze the dependence of the gravitational strain on those parameters and determine the trajectories resulting in the most sizeable strains. Some non-trivial behaviors are unveiled, showing that highly eccentric events can be more easily detectable than parabolic ones. In particular, we underline the correct way to extend formulas from hyperbolic to parabolic orbits. Our reasonings are as general as possible, and we make a point of explaining our considerations pedagogically. The majority of the work is based on Newtonian dynamics and aims at being a benchmark to which more accurate calculations can be compared.



中文翻译:


关于双曲相遇引力波的基本考虑



我们研究了黑洞瞬态双曲线遭遇所发射的引力波(GW)的主要特性。我们首先构建与设置问题最相关的一组基本变量。在揭示了给定引力波频率下可获得的质量和偏心率范围后,我们分析了重力应变对这些参数的依赖性,并确定了产生最大应变的轨迹。一些重要的行为被揭示,表明高度古怪的事件比抛物线事件更容易被检测到。我们特别强调将公式从双曲轨道扩展到抛物线轨道的正确方法。我们的推理尽可能笼统,并且我们注重从教学上解释我们的考虑。大部分工作都是基于牛顿动力学,旨在成为可以比较更准确计算的基准。

更新日期:2024-07-27
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