Coalescence of Binary Black Holes: Computational Contributions to LIGO

双黑洞合并：对 LIGO 的计算贡献

• 批准号: 9988581
• 负责人: Gregory Cook
• 金额: $ 7.48万
• 依托单位: Wake Forest University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-03-01 至 2003-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9988581&HistoricalAwards=false
• 关键词: Coalescence; Binary; Black; Holes; Computational

Gravitational wave forms from the final plunge and coalescence of black-hole and neutron-star binaries are primary targets for LIGO and other gravitational wave interferometers. These wave forms can only be predicted by large-scale numerical computations. If such simulated wave forms are to be made available to the LIGO community in a timely fashion, a significant effort to compute them must be continued now. Such an effort is beyond the scope of a single-investigator project, and requires a collaboration among a dedicated team of researchers. Important theoretical and algorithmic issues remain to be solved before successful simulations of compact binary mergers can be achieved. A code for evolving Einstein's equations in three spatial dimensions and with no special symmetries assumed is needed to produce binary coalescence simulations. This code must be stable and accurate. Achieving stability will require theoretical advances in understanding how evolution schemes interact with boundary conditions when the spacetime is evolving dynamically. It will require the development of coordinate gauge choices that ensure that the coordinates do not behave pathologically. Evolving neutron stars require incorporating matter sources into the Einstein equation solver and developing stable and accurate methods for evolving the matter. Dr. Cook will construct such a code to solve the problem of coalescing compact binaries, combining theory and computation in a symbiotic fashion to make the most rapid progress possible toward the goal of producing gravitational wave forms.

黑洞和中子星双星最终暴跌和合并产生的引力波是 LIGO 和其他引力波干涉仪的主要目标。 这些波形只能通过大规模数值计算来预测。 如果要及时向 LIGO 社区提供此类模拟波形，现在就必须继续努力计算它们。 这样的努力超出了单个研究人员项目的范围，需要专门的研究团队之间的合作。 在成功模拟紧凑二元合并之前，重要的理论和算法问题仍有待解决。生成二元合并模拟需要在三个空间维度上演化爱因斯坦方程且不假设特殊对称性的代码。 该代码必须稳定且准确。 要实现稳定性，就需要在理解时空动态演化时演化方案如何与边界条件相互作用方面取得理论进展。 这将需要开发坐标规范选择，以确保坐标不会出现异常行为。 演化中子星需要将物质源纳入爱因斯坦方程求解器中，并开发稳定且准确的物质演化方法。 库克博士将构建这样的代码来解决致密双星合并的问题，以共生的方式将理论和计算结合起来，以最快的速度实现产生引力波形式的目标。