标题： 致扰相对论恒星的天体物理初始数据构造 显示英文标题

标题： Construction of Astrophysical Initial Data for Perturbations of Relativistic Stars

摘要： 我们发展了一种框架来构建关于球对称物质分布的摄动初始数据集。 此框架有助于设定表示引力辐射天体物理源的初始数据，这些源涉及相对论恒星。 该程序基于朗之万-约克的共形方法来求解爱因斯坦方程中的约束条件。 建立了这些初始数据集与Regge-Wheeler摄动变量的标准规范摄动变量之间的对应关系，并给出了在近似闭合极限下合并中子星的初始数据集实例。 显示英文摘要

摘要： We develop a framework for constructing initial data sets for perturbations about spherically symmetric matter distributions. This framework facilitates setting initial data representing astrophysical sources of gravitational radiation involving relativistic stars. The procedure is based on Lichnerowicz-York's conformal approach to solve the constraints in Einstein's equations. The correspondence of these initial data sets in terms of the standard gauge perturbation variables in the Regge-Wheeler perturbation variables is established, and examples of initial data sets of merging neutron stars under the close-limit approximation are presented.