Black Hole Perturbation Theory and Fundamental Fields on Curved Spacetimes

在这个项目中，博士生将应用黑洞微扰理论中最近开发的方法，以计算确定紧凑双星运动的引力自作用力，以改进（天基）引力波天文学的极端质量比Inspirals的建模，以及地基探测器的中间质量比Inspirals。更具体地说，研究人员将应用分离变量的方法对Kerr时空的Lorenz规范进行度量扰动，建立在Phys.Rev.Lett中描述的工作基础上。128（2022）15，151101。该项目的第二个方面是寻求克尔时空中大质量自旋2场的可分离解，继最近在自旋1情况下的突破和自旋2无质量情况下的可分离解之后。

In this project, the PhD student will apply recently-developed methods in black hole perturbation theory in order to calculate the gravitational self-force determining the motion of compact binaries, in order to improve the modelling of Extreme Mass-Ratio Inspirals for (space-based) gravitational wave astronomy, and Intermediate Mass-Ratio Inspirals for ground-based detectors. More specifically, the researcher will apply the method of separation of variables for metric perturbations in Lorenz gauge on the Kerr spacetime, building on the work described in Phys.Rev.Lett. 128 (2022) 15, 151101. A second aspect of the project is to seek separable solutions for massive spin-2 fields on Kerr spacetime, following recent breakthroughs in the spin-1 case and the separable solutions in the spin-2 massless case.