标题： 准稳态双星旋近：项目概述 显示英文标题

标题： Quasi-Stationary Binary Inspiral: Project Overview

摘要： 我描述了与J.D. Romano、R.H. Price和W. Krivan的合作现状，旨在模拟在存在非微扰引力效应的区域中，由致密天体组成的双星系统所发出的引力辐射及其几何结构，但此时 inspiral 的速率相对于轨道频率仍然较小。 寻找近似演化解的静态时空的方法最初正在一个具有额外平移对称性的简化模型上进行测试。 本报告首先对方法进行了总体描述，然后总结了三种处于不同发展阶段的技术：在存在两个对易的Killing矢量的情况下简化爱因斯坦方程，这些Killing矢量形成一个非正交传递对称群；为平衡入射和出射辐射而需要的边界条件，以调和静态辐射解与能量守恒；以及将远离源的引力波视为对Levi-Civita时空的线性扰动的处理方法。 与本文相关的海报展示可在 http://www-itp.unibe.ch/~whelan/poster.ps.gz 在线获取，该项目的当前状态在 http://www-itp.unibe.ch/~whelan/qsbi.html 有描述。 显示英文摘要

摘要： I describe the current status of a collaboration with J.D. Romano, R.H. Price, and W. Krivan to model the geometry of and gravitational radiation emitted by a binary system of compact objects in the regime where non-perturbative gravitational effects exist, but the rate of inspiral is still small relative to the orbital frequency. The method of looking for a stationary spacetime which approximates the evolving solution is initially being tested on a simpler model with an additional translational symmetry. This report consists of a general description of the method, followed by summaries of three techniques in varying stages of development: the simplification of the Einstein equations in the presence of two commuting Killing vectors which form a non-orthogonally-transitive symmetry group, the boundary conditions appropriate to the balance of ingoing and outgoing radiation needed to reconcile a stationary radiating solution with conservation of energy, and the treatment of gravitational waves far from the sources as linearized perturbations to the Levi-Civita spacetime. The poster presentation with which this paper is associated is available on line at http://www-itp.unibe.ch/~whelan/poster.ps.gz and the current status of the project is described at http://www-itp.unibe.ch/~whelan/qsbi.html