标题： 黑洞演化初始数据 显示英文标题

标题： Initial data for black hole evolutions

摘要： 我们讨论广义相对论的初值问题在其最近统一的拉格朗日和哈密顿图景中的情况，并提出一种多域伪谱配置方法来求解由此产生的耦合非线性偏微分方程。 使用此代码，我们探索了几种构建包含一个或两个黑洞的初始数据集的方法：我们使用有效势方法和Bowen-York外曲率计算自旋等质量黑洞和非自旋不等质量黑洞的准圆轨道。 我们比较了不同分解方式以及不同共形度规选择所产生的初始数据集。 此外，我们使用准平衡方法构建单个黑洞和准圆轨道中双黑洞的初始数据。 我们研究这些双黑洞数据集并检查大质量比和宽距离的极限。 最后，我们提出了一种构建可能具有非常大振幅叠加引力波时空的新方法。 显示英文摘要

摘要： We discuss the initial value problem of general relativity in its recently unified Lagrangian and Hamiltonian pictures and present a multi-domain pseudo-spectral collocation method to solve the resulting coupled nonlinear partial differential equations. Using this code, we explore several approaches to construct initial data sets containing one or two black holes: We compute quasi-circular orbits for spinning equal mass black holes and unequal mass (nonspinning) black holes using the effective potential method with Bowen-York extrinsic curvature. We compare initial data sets resulting from different decompositions, and from different choices of the conformal metric with each other. Furthermore, we use the quasi-equilibrium method to construct initial data for single black holes and for binary black holes in quasi-circular orbits. We investigate these binary black hole data sets and examine the limits of large mass-ratio and wide separation. Finally, we propose a new method for constructing spacetimes with superposed gravitational waves of possibly very large amplitude.