北京雁栖湖应用数学研究院 北京雁栖湖应用数学研究院

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关于我们
院长致辞
理事会
协作机构
参观来访
人员
管理层
科研人员
博士后
来访学者
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学术支持
学术研究
研究团队
公开课
讨论班
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教研人员
博士后
学生
会议
学术会议
工作坊
论坛
学院生活
住宿
交通
配套设施
周边旅游
新闻
新闻动态
通知公告
资料下载
清华大学 "求真书院"
清华大学丘成桐数学科学中心
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上海数学与交叉学科研究院
BIMSA > Bondi-Metzner-Sachs Group: Structure and Applications
Bondi-Metzner-Sachs Group: Structure and Applications
The Poincaré group is the symmetry group of Special Relativity that leaves the line element in Minkovsky space invariant. For General Relativity, or in other words, for curved spacetimes, there is no such symmetry group. However, it is possible to find such a symmetry group when considering asymptotically flat spaces. Surprisingly, the symmetry group of asymptotically flat spaces is not simply the Poincaré group but an extension called the Bondi-Metzner-Sachs (BMS) group. In this course, we will discuss the structure of the BMS group and its application to some physical systems.
讲师
Alejandro Torres Orjuela
日期
2025年09月17日 至 12月17日
位置
Weekday Time Venue Online ID Password
周三 10:40 - 12:15 Shuangqing-B627 ZOOM 08 787 662 9899 BIMSA
周三 14:20 - 16:05 Shuangqing-B627 ZOOM 08 787 662 9899 BIMSA
修课要求
Basics in group theory, special relativity, and general relativity
课程大纲
The Poincaré group
Conformal infinity
Bondi-Sachs coordinates and boundary
Bondi-Sachs metric
Bondi-Sachs solutions of the Einstein equations
The Bondi-Metzner-Sachs group
Bondi-Metzner-Sachs Lie algebra
Application to gravitational scattering
Application to waveforms
参考资料
Alessio & Esposito, Int. J. Geom. Meth. Mod. Phys. 15 (2018) 02, 1830002; Alessio, arXiv:1801.01714 (2018); Esposito & Vitale, Symmetry 16 (2024) 7, 867; Mädler & Winicour, Scholarpedia 11 (2016) 33528; Boyle, Phys.Rev.D 93 (2016) 8, 084031
听众
Graduate , 博士后 , Researcher
视频公开
公开
笔记公开
公开
语言
英文
讲师介绍
Alejandro Torres Orjuela obtained his Physics Bachelor's degree from the Free University of Berlin (Germany) and his Physics Master's degree, as well as his Bachelor's and Master's degrees in Mathematics from the Technical University of Berlin (Germany). Later, he moved to China to do his Ph.D. in Astrophysics at Peking University, where he worked with Prof. Xian Chen and Prof. Pau Amaro Seoane from 2017 to 2021. After his Ph.D., Alejandro moved to the TianQin Center at Sun Yat-Sen University in Zhuhai (China), where he worked for two years as a PostDoc in the Theoretical Study group led by Prof. Jianwei Mei. In 2023 and 2024, Alejandro took a position as a Post-Doctoral Fellow at the University of Hong Kong, where he was part of Prof. Lixin Jane Dai's group. In November 2024, Alejandro joined BIMSA as an Assistant Professor in the "General Relativity and Partial Differential Equations" group. Alejandro works on different aspects of gravitational wave astronomy with a particular focus on the effect of the environment on gravitational wave detection with two major goals: understanding how environmental effects impact - and potentially bias - detection and how these effects can be used to study the environment of the source. His research further includes gravitational wave sources with electromagnetic counterparts and their use as standard sirens to measure the expansion of the universe. Alejandro's studies involve different kinds of gravitational wave detectors across the spectrum, with a particular focus on space-based detectors TianQin and LISA in the mHz band, atom interferometry detectors in the dHz band, and kHz detectors LIGO-Virgo-KAGRA.
北京雁栖湖应用数学研究院
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