Conference Support Grant: Numerical Relativity beyond General Relativity

高级LIGO引力波天文学领域的主要目标之一是在一个从未被测试过的领域测试爱因斯坦的广义相对论（GR）。这种科学的影响具有潜在的变革性，并可能产生对引力物理学新范式的见解。要实现这一目标，需要对黑洞和中子星合并进行新一代的数值模拟。这个群体不仅需要在GR范围内进行更精确的模拟，还需要在GR之外的理论中探索合并的完整数值模拟。这种模拟处于重力研究的前沿。这是第一次以超越广义相对论理论的数值模拟为重点的会议。这个为期一周的国际研讨会，“超越广义相对论的数值相对论”，旨在向更大的社区介绍这一新兴领域。长期以来，人们一直希望在超gr理论中进行数值模拟，但很少有团队努力解决这个问题。本次研讨会的主要目标是在所有积极在这一主题上取得进展的研究人员之间传播信息，以及即将成为该领域未来领导者的新来者。这将交叉授粉和种植未来的研究思路。参与者来自数值模拟，引力波数据分析和超越GR的理论领域。格式包括结构化的演讲（例如数学形式，不同的数值方法，标量张量中的模拟状态，爱因斯坦-膨胀-高斯-博内，爱因斯坦-麦克斯韦-膨胀，陈-西蒙斯，对称理论）和开放讨论（例如波形要求，开源代码，反德西特空间中的数值）。该奖项反映了美国国家科学基金会的法定使命，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。

One of the main goals of the field of gravitational-wave astronomy with Advanced LIGO is testing Einstein's theory of general relativity (GR) in a regime where it has never been tested before. The impact of such science is potentially transformative, and may yield insights into a new paradigm of gravitational physics. Accomplishing this goal will require a new generation of numerical simulations of merging black holes and neutron stars. Not only does the community need more precise simulations within GR, but also to explore full numerical simulations of mergers in theories beyond GR. Such simulations are at the forefront of gravity research. This is the first meeting with a focus on numerical simulations in theories beyond GR. This one-week long international workshop, "Numerical Relativity beyond General Relativity", aims at introducing this emerging field to the larger community.Performing numerical simulations in beyond-GR theories has long been desired, but few groups have made the efforts to tackle the problem. The main goals of this workshop will be to disseminate information among all the researchers actively making progress on this topic, and newcomers who are going to become future leaders in this field. This will cross-pollinate and plant future research ideas. The participants are drawn from the fields of numerical simulation, gravitational-wave data analysis, and theories beyond GR. The format includes structured talks (e.g. mathematical formalism, different numerical approaches, statuses of simulations in scalar-tensor, Einstein-dilaton-Gauss-Bonnet, Einstein-Maxwell-Dilaton, Chern-Simons, bimetric theory), and open discussions (e.g. waveform requirements, open source codes, numerics in Anti-de-Sitter space).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.