Computational Frontiers in the Strong Gravity Regime

强引力系统，如黑洞，作为自然设置，以测试我们目前的引力理论-爱因斯坦的广义相对论（GR）的有效性。识别任何偏离GR的情况将从根本上增强我们对时空结构、引力和量子力学的基础知识。该项目旨在揭示强场区域中GR的未知结构和黑洞的量子方面。利用传统的分析方法和从高能物理学引进的创新技术，将获得物理相关解决方案的新见解。这些发现对于解决二元黑洞的确切阴影，纯粹从无重力量子场论的角度获得黑洞喷流的见解以及恢复黑洞中的量子信息都很重要。本项目的推广计划将为研究生和本科生的专业发展创造新的机会，并解决缺乏坚实科学课程的当地小学的需求。更准确地说，本项目的研究目标如下。首先，构造有效的计算方法成像（包括电影）的极端，不等质量或偏心的双黑洞应用所谓的准静态方法的确切的阴影。第二，建立一个新的全息对偶性的Blandford-Znajek机制的能量提取旋转黑洞。最后，提供一个强大的方法来解释如何在其事件视界中加密落入GR中BH的物理信息。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

Strongly gravitating systems, such as black holes, serve as natural setups to test the validity of our current theory of gravity - Einstein's theory of general relativity (GR). Identifying any deviations from GR will radically enhance our fundamental knowledge about the structure of space-time, gravity and quantum mechanics. This project aims to reveal unknown structure of GR in the strong field regime and quantum aspects of black holes. Using both conventional analytical methods and innovative techniques imported from high energy physics, new insights on the physically relevant solutions will be reached. These findings will be important to resolve the exact shadows of binary black holes, gain insights in black hole jets purely in terms of a gravity-free quantum field theory and restore quantum information in black holes. The outreach plan of this project will create new opportunities for professional development for graduate and undergraduate students and address the needs of the local elementary schools lacking solid science programs.More precisely, the research objectives of this proposal are the following. First, construct efficient computational methods for imaging (including movies) the exact shadows for extremal, un-equal mass or eccentric binary black holes applying the so-called quasi-static methods. Second, establish a new holographic duality for the Blandford-Znajek mechanism of energy extraction from rotating black holes. Last, provide a robust methodology to explain how the physical information falling into a BH in GR is encrypted in its event horizon.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.