Frequency-domain approach to self-force in hyperbolic scattering

引力波探测器的改进需要越来越精确的波形模型来进行事件探测和参数提取。有人提出，散射观测量的自作用力修正知识可用于提高后闵可夫斯基和其他波形建模分析方法的准确性。该项目旨在开发和实施一种频域方法，以计算在小物体与克尔黑洞双曲线相遇期间对散射角的一阶自作用力修正以及其他物理相关量。我们的计划是使用标量场模型作为一个平台，开发解决方案，以解决频域计算所面临的新挑战与未绑定的轨道，如连续工作，而不是离散频谱。一旦完成，我们将利用我们所学到的知识来解决整个引力问题。

Improvements in gravitational wave detectors demand increasingly accurate waveform models for event detection and parameter extraction. It has been proposed that knowledge of self-force corrections to scattering observables can be used to improve the accuracy of post-Minkowskian and other analytical methods for waveform modelling. This project aims to develop and implement a frequency domain method to compute the first-order self-force correction to the scattering angle, among other physically relevant quantities, during a hyperbolic encounter of a small object with a Kerr black hole. Our plan is to use a scalar field model as a platform to develop solutions to the novel challenges faced by frequency domain calculations with unbound orbits, such as working with a continuous as opposed to discrete spectrum. Once this is complete we will use what we have learned to tackle the full gravitational problem.