等效周期源的自作用力
Self force from equivalent periodic sources
摘要：
考虑到小天体在黑洞周围轨道（特别是非周期轨道）上的自作用力和辐射，本文定义了一种源的分解，将其分解为由自由下落的点粒子系综组成的扩展天体的保形周期运动之和。固定的组成部分被发现是在保守的部门。整个指定轨迹的自作用力计算归结为求解一个空间偏微分方程（PDE）和一系列具有周期时间的PDE。由于源的扩展性质，正则化被减轻。一个正则化方法建议的启发，目前在静电表面或其他奇异源的类型。
英文摘要：
Considering the self force and radiation due to a small body in orbit (especially aperiodic) around a black hole, this paper defines a decomposition of the source into a sum over the shape preserving periodic motions of extended objects defined here consisting of ensembles of freely falling point particles. The stationary component is found to be within the conservative sector. Self-force computation throughout a specified trajectory reduces to solving one spatial partial differential equation (PDE) and a series of PDE's with periodic time. Regularization is alleviated due to the sources' extended nature. A regularization method is suggested inspired by the type present in electrostatics with surface or other singular sources.
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