Problems in Gravitational Radiation

本提案要求支持一名研究者继续研究数值广义相对论中的突出问题。建议的项目是(1)爱因斯坦方程数值演化的边界条件的公式，(2)两个黑洞合并最后阶段的重力波形的计算，以及(3)黑洞捕获中子星的引力辐射。这些都是研究引力波和广义相对论基础的科学家们非常感兴趣的地方。微扰技术已经成功地用于推断一些奇异的宇宙事件的性质，如中子星-中子星合并（NS-NS启发）在早期或晚期阶段，但在合并的中间阶段是不够的。为了弥合这两个极端之间的差距，大规模的计算机模拟是必要的。这里提出的研究将寻求开发这种模拟所需的工具。由P.I.和他的同事开发的数值技术在过去取得了重要的进展，并将在拟议的研究计划中发挥优势。

This proposal requests support for a single investigator to continue work on outstanding problems in numerical general relativity. The proposed projects are (1) formulation of boundary conditions for a numerical evolution of the Einstein equations, (2) computation of gravitational waveforms in the final stages of the coalescence of two black holes, and (3) gravitational radiation from the capture of a neutron star by a black hole. These are all of great interest to the community of scientists studying gravitational waves and the foundations of general relativity. Perturbation techniques have been successfully employed to deduce properties of some exotic cosmological events such as neutron star-neutron star coalescence (NS-NS inspiral) in the very early or very late stages, but are not sufficient in the intermediate stage of the merger. Large-scale computer simulations are necessary to bridge the gap between these extremes. The research proposed here will seek to develop the tools needed for such simulations. Numerical techniques developed by the P.I. and his colleagues have enabled important advances in the past and will be used to advantage in the proposed research program.