Two Body Dynamics in General Relativity

广义相对论中的二体动力学

• 批准号: 0099532
• 负责人: Neil Cornish
• 金额: $ 6万
• 依托单位: Montana State 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: 2001-08-15 至 2004-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0099532&HistoricalAwards=false
• 关键词: Two; Body; Dynamics; General; Relativity

The dynamics of the relativistic two-body problem will be studied inthe limit where one of the bodies is very much more massive than theother. The extreme mass ratio is amenable to analytic treatment, andcan be used to describe a neutron star or similar object interactingwith a super-massive galactic black hole. The primary questions to beaddressed concern the dynamical stability of the orbits and thetransition from inspiral to plunge. This should shed light on ourability to extract information from the gravitational waves emittedduring the final stages of the orbital evolution. A variety of newand existing techniques will be developed and applied.The evolution of two masses under their mutual gravitational attractionis a major outstanding problem in classical general relativity. It hasa direct bearing on the observational program of the Laser InterferometerGravitational wave Observatory (LIGO). The possibly that the orbitalevolution is effectively chaotic has a number of interesting theoreticaland observational consequences.

相对论两体问题的动力学将在一个物体比另一个物体质量大得多的极限下进行研究。这种极端的质量比可以用解析法处理，可以用来描述中子星或与超大质量星系黑洞相互作用的类似物体。要解决的主要问题是轨道的动力学稳定性和从吸气到暴跌的转变。这将阐明我们从轨道演化最后阶段发射的引力波中提取信息的能力。各种新的和现有的技术将被开发和应用。两个质量在相互引力作用下的演化是经典广义相对论中一个重要的突出问题。它直接关系到激光干涉引力波天文台（LIGO）的观测计划。轨道演化实际上是混沌的这种可能性有许多有趣的理论和观测结果。