标题： 有效一阶相对论框架下考虑辐射反应效应的无自旋双星的有效度规，达第四后闵可夫斯基阶 显示英文标题

标题： Effective metric of spinless binaries with radiation-reaction effect up to fourth Post-Minkowskian order in effective-one-body theory

摘要： 利用散射角，我们得到了一个无自旋双星系统的有效度规，其中包含了辐射反应效应，达到第四后闵可夫斯基（post-Minkowskian）阶，这是有效一体力学（effective-one-body）理论的基础。 我们注意到，有效度规的参数存在自由度，因为每个后闵可夫斯基阶对应一个方程和两个参数。 因此，为了构建一个自洽的有效一体力学理论，在该理论中引力波的“+”模式和“×”模式的哈密顿量、辐射反作用力以及波形应基于相同的物理模型，我们可以通过要求引力扰动的Weyl张量的null切从量组件$\Psi_4^B$在有效时空内解耦来固定这些自由度。 显示英文摘要

摘要： By means of the scattering angles, we obtain an effective metric of spinless binaries with radiation-reaction effects up to fourth post-Minkowskian order, which is the foundation of the effective-one-body theory. We note that there are freedoms for the parameters of the effective metric because one equation corresponds to two parameters for each post-Minkowskian order. Accordingly, in order to construct a self-consistent effective-one-body theory in which the Hamiltonian, radiation-reaction forces and waveforms for the ``plus" and ``cross" modes of the gravitational wave should be based on the same physical model, we can fix these freedoms by requiring the null tetrad component of the gravitationally perturbed Weyl tensor $\Psi_4^B$ to be decoupled in the effective spacetime.