Fundamental Fields, Black Holes and Perturbation Theory

研究领域是弯曲时空的基础领域，特别强调与在克尔时空上运动的紧致物体相关的度量摄动的实际计算，以及引力自作用力的计算。主要的科学动机是为未来的天基引力波探测器改进来自极端质量比吸气的引力波建模；如果可能的话，改进地面探测器的中间质量比吸气模型。其他可能的研究课题包括：旋转黑洞的超辐射不稳定性；克尔上大质量自旋-二场方程的可分性（或其他）；以及模拟重力实验的理论模型。这些项目属于理论和数学物理领域。这项研究将涉及使用标准的计算软件，如Mathematica，以及笔和纸的计算。该项目不会进行任何实验，也不太可能在未来十年内产生任何知识产权或新技术。

The research area is fundamental fields on curved spacetimes, with a particular emphasis on practical calculations of metric perturbations associated with compact bodies moving on the Kerr spacetime, and gravitational self-force calculations. The chief scientific motivation is to improve the modelling of gravitational waves from Extreme Mass-Ratio Inspirals for future space-based gravitational wave detectors; and if possible, to improve modelling of Intermediate Mass-Ratio Inspirals for ground-based detectors. Other possible topics for investigation include: superradiant instabilities of rotating black holes; the separability (or otherwise) of massive spin-two field equations on Kerr; and theoretical modelling for experiments in analogue gravity.The projects are in the domain of theoretical and mathematical physics. The research will involve the use of standard computing software, such as Mathematica, and pen-and-paper calculations. No experiments will be performed, and it is unlikely that this project will lead to any intellectual property or new technologies within the next decade.