ITR: Numerical and Computational Tools for Binary Black Hole Simulations

ITR：二元黑洞模拟的数值和计算工具

• 批准号: 0218750
• 负责人: Pablo Laguna
• 金额: $ 25万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-08-15 至 2005-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0218750&HistoricalAwards=false
• 关键词: ITR; Numerical; Computational; Tools; Binary

The goal is to provide new numerical and computational tools to reach a new milestone: performing computer simulations of the last fewinspiraling orbits of two black holes and their violent collision and merger. The dynamics of such a binary black hole system is governed by Einstein's equations for general relativity. To solve the very complex Einstein equations on the computer, special methods are developed that improve the computational efficiency so that fully three-dimensional simulations become possible on a routine basis. This requires taking the pecularities of Einstein's general relativity into account, in particular finding good explicit coordinates (so that the computer can handle the `everything is relative' of general relativity) and dealing with the spacetime singularities that lurk inside black holes.It is remarkable that even today the two body problem of general relativity still remains unsolved. Especially the problem of dynamics of two black holes in a binary has drawn considerable attention, butnot even a single orbit of two black holes has been simulated. The orbital motion of black holes follows a spiral that leads to thecollision and merger of the black holes, which is expected to produce large amounts of gravitational radiation. The community of gravitational wave astronomers urgently awaits predictions for the merger waves of black holes from computer simulations.

目标是提供新的数值和计算工具以达到新的里程碑：对两个黑洞的最后几个螺旋轨道及其剧烈碰撞和合并进行计算机模拟。 这种双黑洞系统的动力学受到爱因斯坦广义相对论方程的控制。为了在计算机上求解非常复杂的爱因斯坦方程，人们开发了特殊的方法来提高计算效率，从而使完全三维模拟成为可能。 这需要考虑到爱因斯坦广义相对论的特殊性，特别是找到良好的显式坐标（以便计算机能够处理广义相对论的“一切都是相对的”）并处理潜伏在黑洞内部的时空奇点。值得注意的是，即使在今天，广义相对论的二体问题仍然没有得到解决。 特别是双星中两个黑洞的动力学问题引起了相当多的关注，但甚至没有模拟两个黑洞的单个轨道。 黑洞的轨道运动遵循螺旋线，导致黑洞的碰撞和合并，预计会产生大量的引力辐射。 引力波天文学家迫切等待计算机模拟对黑洞合并波的预测。