标题： Kerr 度规下辐射规范的自旋-2 Green 函数 显示英文标题

标题： Spin-2 Green's Functions on Kerr in Radiation Gauge

摘要： 我们在入射辐射规范下为Kerr背景中的引力微扰构造了后退和推进的Green函数。 我们的Green函数包含一个频域部分，该部分之前由Ori [Phys. Rev. D 67 (2003)] 基于Chrzanowski-Cohen-Kegeles度规重构方法获得。 众所周知，单靠这部分不足以得到实际的Green函数。 我们展示了如何通过基于Green等人 [Class. Quant. Grav. 37 (2020)] 的方法来完成它。 完成的部分在时域上有完全显式的表达形式，并且支持在同一出射主零测地线上的因果关系适当的点对上。 我们预计我们的Green函数将对Kerr时空中的引力自力计算和其他微扰问题有用。 显示英文摘要

摘要： We construct retarded and advanced Green's functions for gravitational perturbations in Kerr in an ingoing radiation gauge. Our Green's functions have a frequency domain piece that has previously been obtained by Ori [Phys. Rev. D 67 (2003)] based on the Chrzanowski-Cohen-Kegeles metric reconstruction method. As is well known, this piece by itself is not sufficient to obtain an actual Green's function. We show how to complete it with a piece based on a method by Green et al. [Class. Quant. Grav. 37 (2020)]. The completion piece has a completely explicit form in the time-domain and is supported on pairs of points on the same outgoing principal null geodesic which are in the appropriate causal order. We expect our Green's functions to be useful for gravitational self-force calculations and other perturbation problems on Kerr spacetime.