Research in Gravitational Physics

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涉及黑洞、强自引力恒星和我们宇宙大尺度行为的现象的含义。强引力场中量子现象的性质也将被探讨。该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，因此将有助于他们的培训。与该奖项相关的研究领域引起了公众的极大兴趣，因此将开展一些活动，例如举办公开讲座，以帮助向公众传播科学知识。具体研究课题包括：发展确定黑洞和黑膜稳定性的变分原理，并在不稳定情况下获得指数增长率；这个变分原理可能扩展到旋转的相对论恒星；利用正则能量提供黑洞引力摄动的边界；渐近AdS时空中黑洞稳定性的分析广义相对论中熵极值与平稳性的关系宇宙时空中的记忆效应；在非常小的角尺度上对CMB的引力透镜效应；考虑二阶引力自作用力修正的粒子自洽运动方程用算子积展开表述弯曲时空中相互作用量子场论并分析了弯曲时空中量子场论中非线性场观测值的自伴随性。

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.