Advanced numerical methods for gravitational self-force calculations

重力自力计算的先进数值方法

• 批准号: 2126422
• 金额: --
• 依托单位: University of Southampton
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2018
• 资助国家: 英国
• 起止时间: 2018 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2126422
• 关键词: Advanced; numerical; methods; gravitational; self

Gravitational self-force theory is a perturbative approach to the two-body problem in General Relativity, with important applications in gravitational-wave astronomy. The project will explore a new, computationally efficient approach to self-force calculations in Kerr spacetime, based on a time-domain numerical evolution of certain curvature scalars. The project will have a theoretical component---the formulation of metric reconstruction in nonvacuum spacetimes---as well as a numerical-analysis component---the development of a novel, pseudo-spectral method for time-domain integration of the gravitational field equations.

引力自力理论是广义相对论中解决两体问题的微扰方法，在引力波天文学中有重要的应用。该项目将探索一种新的，计算效率高的方法来计算克尔时空中的自作用力，其基础是某些曲率标量的时域数值演化。该项目将有一个理论组成部分-在非真空时空中的度量重建的制定-以及一个数值分析组成部分-一种新的伪谱方法的发展，用于引力场方程的时域积分。