标题： 周期驻波近似：后闵可夫斯基计算 显示英文标题

标题： The periodic standing-wave approximation: post-Minkowski computation

摘要： 周期驻波方法研究与螺旋对称驻波引力场耦合的致密天体的圆轨道。 从这个解中提取了黑洞和双星缓慢旋入强场运动的近似。 此前对此模型的研究涉及非线性标量模型以及线性化广义相对论。 在这里，我们展示了该方法在广义相对论的后闵可夫斯基（PM）近似下的结果，这是超越线性化引力的第一步。 我们以两种方式计算PM近似：首先，通过计算线性化引力场并从中构建二阶场的二次驱动源的标准方法；其次，将二阶方程作为“精确”的非线性系统求解。 这些计算的结果有两个不同的应用：(i) “精确”PM解的计算基础设施将直接适用于完整的广义相对论。 (ii) 这些结果将使我们能够开始为运行广义相对论演化代码的合作者提供初始数据。 显示英文摘要

摘要： The periodic standing wave method studies circular orbits of compact objects coupled to helically symmetric standing wave gravitational fields. From this solution an approximation is extracted for the strong field, slowly inspiralling motion of black holes and binary stars. Previous work on this model has dealt with nonlinear scalar models, and with linearized general relativity. Here we present the results of the method for the post-Minkowski (PM) approximation to general relativity, the first step beyond linearized gravity. We compute the PM approximation in two ways: first, via the standard approach of computing linearized gravitational fields and constructing from them quadratic driving sources for second-order fields, and second, by solving the second-order equations as an ``exact'' nonlinear system. The results of these computations have two distinct applications: (i) The computational infrastructure for the ``exact'' PM solution will be directly applicable to full general relativity. (ii) The results will allow us to begin supplying initial data to collaborators running general relativistic evolution codes.