Gravitational redshifts of galaxy clusters and large-scale structure: New probes of modified gravity and dark matter

该计划将开发一种测量引力红移效应（光波频率变化）的方法，这已成为在星系尺度上检验广义相对论的新手段。本文还计划用数值模拟来验证该方法。这项工作的广泛影响包括培养本科生和研究生，以及一名博士后研究员。与卡耐基梅隆大学计算机科学和图形学专业的学生合作，将开发一款基于宇宙结构形成的公共宣传电脑游戏。分析理论和大尺度的现实宇宙学模拟将被用来预测不同环境下星系的引力红移。将制定最优统计估计，以最好地约束大尺度引力势。这些估计器将应用于模拟数据进行测试并做出预测，这些预测将应用于现有的星系目录。

This program will develop a method of measuring the gravitational redshift effect (change in the frequency of light waves), which has become a new means of testing general relativity on on the scale of galaxies. There is also a plan to validate this method with numerical simulations. Broader impacts of the work include training of undergraduate and graduate students, and a postdoctoral researcher. With a collaborative team including computer science and graphics students at Carnegie Mellon, a computer game for public outreach will be developed based on cosmological structure formation.Analytic theory and large scale realistic cosmological simulations will be employed to make predictions for gravitational redshifts of galaxies in various environments. Optimal statistical estimators will be formulated to best constrain the large-scale gravitational potential. These estimators will be applied to the simulated data to carry out tests and to make predictions, which will be applied to existing galaxy catalogs.