The article reviews the current status of a theoretical approach to the problem of the emission of gravitational waves by isolated systems in the context of general relativity. Part A of the article deals with general post-Newtonian sources. The exterior field of the source is investigated by means of a combination of analytic post-Minkowskian and multipolar approximations. The physical observables in the far-zone of the source are described by a specific set of radiative multipole moments. By matching the exterior solution to the metric of the post-Newtonian source in the near-zone we obtain the explicit expressions of the source multipole moments. The relationships between the radiative and source moments involve many nonlinear multipole interactions, among them those associated with the tails (and tails-of-tails) of gravitational waves. Part B of the article is devoted to the application to compact binary systems. We present the equations of binary motion, and the associated Lagrangian and Hamiltonian, at the third post-Newtonian (3PN) order beyond the Newtonian acceleration. The gravitational-wave energy flux, taking consistently into account the relativistic corrections in the binary moments as well as the various tail effects, is derived through 3.5PN order with respect to the quadrupole formalism. The binary's orbital phase, whose prior knowledge is crucial for searching and analyzing the signals from inspiralling compact binaries, is deduced from an energy balance argument.

中文翻译：

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后牛顿源和引人入胜的紧凑型二元引力辐射。

本文回顾了广义相对论背景下孤立系统发射引力波问题的理论方法的现状。本文的A部分讨论了一般的后牛顿资源。通过分析后的Minkowskian方法和多极近似方法相结合的方法来研究源的外部场。辐射源远区的物理观测结果由一组特定的辐射多极矩描述。通过使外部解与近区域后牛顿源的度量相匹配，我们获得了源多极矩的显式表达式。辐射矩和源矩之间的关系涉及许多非线性多极相互作用，其中包括与重力波的尾部（和尾部尾部）有关的相互作用。本文的B部分专门针对紧凑型二进制系统的应用程序。在牛顿加速度之外的第三后牛顿（3PN）阶上，我们介绍了二元运动方程以及相关的拉格朗日方程和哈密顿方程。引力波能量通量，始终考虑到二元矩的相对论修正以及各种尾效应，是通过相对于四极形式论的3.5PN阶数得出的。从能量平衡论证推导了二进制的轨道阶段，其先验知识对于启发和激励紧凑型二进制文件的信号至关重要。在牛顿加速度之后的第三个牛顿后阶（3PN）。引力波能量通量，始终考虑到二元矩的相对论修正以及各种尾效应，是通过相对于四极形式论的3.5PN阶数得出的。从能量平衡论证推导了二进制的轨道阶段，其先验知识对于启发和激励紧凑型二进制文件的信号至关重要。在牛顿加速度之后的第三个牛顿后阶（3PN）。引力波能量通量，始终考虑到二元矩的相对论修正以及各种尾效应，是通过相对于四极形式论的3.5PN阶数得出的。从能量平衡论证推导了二进制的轨道阶段，其先验知识对于启发和激励紧凑型二进制文件的信号至关重要。