GLOBAL STUDIES OF EINSTEIN SPACETMES

爱因斯坦空间的全球研究

• 批准号: 0098084
• 负责人: Vincent Moncrief
• 金额: $ 19.5万
• 依托单位: Yale University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-07-01 至 2004-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0098084&HistoricalAwards=false
• 关键词: GLOBAL; STUDIES; EINSTEIN; SPACETMES

This project deals with two major areas of mathematical relativitywhich border on the fields of 3-manifold topology on the one hand andnumerical/experimental relativity on the other. The first researchtopic treats the question of how the spatial topology of the universeaffects its long-time evolution. The second topic involves thedevelopment of an efficient and accurate numerical scheme for thecomputation of gravitational waves produced by colliding black holes. The importance of the first topic is that it seeks to unify the studyof the evolutionary properties of the universe with variousgeometrization results and conjectures from pure mathematics, therebybroadening the scope of results in either field of study. Theimportance of the second topic is that it seeks to support theexperimental search for gravitational waves by improving thetheoretical understanding of possible sources of such waves.

该项目涉及两个主要领域的数学relativitywhich边界领域的3流形拓扑一方面和数值/实验相对论的其他。第一个研究主题是宇宙的空间拓扑如何影响其长期演化的问题。第二个主题是发展一个有效和精确的数值计算方案，用于计算碰撞黑洞产生的引力波。第一个主题的重要性在于，它试图将宇宙演化性质的研究与各种几何化结果和纯数学的结果统一起来，从而拓宽了两个研究领域中结果的范围。第二个主题的重要性在于它试图通过提高对引力波可能来源的理论理解来支持对引力波的实验研究。