Tidal Interactions in Strong Field Gravity

该项目将研究黑洞的引力结构和潮汐变形。潮汐力是由一个物体的引力场向另一个物体的引力场的梯度引起的，导致前者扭曲。引力潮汐相互作用在双星系统发出的引力波信号中留下了可检测的印记，反过来可以用来理解广义相对论的偏差。识别任何偏离这一理论的地方将从根本上增强我们对时空结构的基本知识，并确定黑洞到底是什么。这项研究将与更广泛的影响活动相结合，旨在激发公众，K-6小学生和物理本科生对科学的热情。 总体目标是推进潮汐相互作用的计算前沿，旨在通过从高能物理学引入计算方法来测试致密物体的性质。目标是：（1）确定潮汐变形能力（爱数）的不同紧凑的对象和黑洞，（2）评估潜在的对称性在潮汐相互作用在外部/内部的黑洞，（三）在广义相对论的替代理论中构造黑洞的潮汐Love数。该奖项反映了NSF的法定使命，并通过使用基金会的智力价值进行评估而被认为值得支持和更广泛的影响审查标准。

This project will study the structure of gravity and tidal deformations of black holes. The tidal force results from a gradient in the gravitational field of one body towards another, causing the former to distort. Gravitational tidal interactions leave a detectable imprint in gravitational-wave signals emitted by a binary system, and in turn can be used in understanding deviations from General Relativity. Identifying any deviations from this theory will radically enhance our fundamental knowledge about the structure of space-time, and determine what black holes really are. The research will be integrated with broader impact activities aimed to enthuse the general public, K-6 elementary school students, and physics undergraduates about science. The overall aim is to push forward the computational frontier in tidal interactions aiming at testing the nature of compact objects by importing computational methods from high-energy physics. The objectives are: (1) determine the tidal deformability (Love numbers) of different compact objects and black holes, (2) assess underlying symmetries in tidal interactions in the exterior/interior of black holes and, (3) construct the tidal Love numbers of black holes in alternative theories of General Relativity.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.