Research in Gravitational Physics

引力物理研究

• 批准号: 1505124
• 负责人: Robert Wald
• 金额: $ 69万
• 依托单位: University of Chicago
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-06-15 至 2019-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1505124&HistoricalAwards=false
• 关键词: Research; Gravitational; Physics

This award is concerned with a broad range of research in gravitational physics, including research projects in classical general relativity, cosmology, and quantum field theory in curved spacetime. The main aim of this research is to obtain a deeper understanding of the implications of Einstein's theory of general relativity for phenomena involving black holes, strongly self-gravitating stars, and the large scale behavior of our universe. The nature of quantum phenomena in strong gravitational fields will also be explored. The research will involve the direct participation of graduate students and a postdoctoral research associate in all aspects of the research, and it will thereby contribute to their training. The areas of research associated with this award are of considerable interest to the public, and activities will be undertaken, such as giving public lectures, that aid in the dissemination of scientific knowledge to the public.The specific research topics to be investigated include: The development of a variational principle to determine black hole and black brane stability and obtain exponential growth rates in the case of instability; possible extensions of this variational principle to rotating, relativistic stars; the use of canonical energy to provide bounds on gravitational perturbations of black holes; an analysis of black hole stability in asymptotically AdS spacetimes; the relationship between extrema of entropy and stationarity in general relativity; the memory effect in cosmological spacetimes; gravitational lensing effects on the CMB at very small angular scales; self-consistent equations of motion for particles that take account of second-order gravitational self-force corrections; the formulation of interacting quantum field theory in curved spacetime via an operator product expansion; and an analysis of the self-adjointness properties of nonlinear field observables in quantum field theory in curved spacetime.

该奖项涉及引力物理学的广泛研究，包括经典广义相对论，宇宙学和弯曲时空中的量子场论的研究项目。这项研究的主要目的是更深入地了解爱因斯坦广义相对论对黑洞、强自引力恒星和宇宙大尺度行为等现象的影响。在强引力场量子现象的性质也将被探讨。研究将涉及研究生和博士后研究助理直接参与研究的各个方面，从而有助于他们的培训。与该奖项相关的研究领域是公众相当感兴趣的，并将开展活动，如举办公开讲座，以帮助向公众传播科学知识。将调查的具体研究课题包括：发展变分原理，以确定黑洞和黑膜稳定性，并获得不稳定情况下的指数增长率;这一变分原理的可能扩展到旋转，相对论恒星;使用正则能量提供黑洞引力扰动的界限;分析黑洞稳定性在渐近AdS时空;熵的极值和平稳性之间的关系在广义相对论;记忆效应在宇宙时空;引力透镜效应对宇宙微波背景辐射在非常小的角度尺度;自洽的运动方程的粒子，考虑到二阶引力自作用力的修正;制定相互作用量子场论在弯曲时空通过运营商产品的扩展;以及弯曲时空中量子场论中非线性场观测量的自伴性分析。