Advanced topics in General Relativity
The aim of the course is to introduce the students to the theory ofclassical (i.e., non-quantum) black holes in Einsteins theory of relativity.The course will be based on selected chapters of the book "The geometry of black holes, Oxford University Press 2020". We will cover
General relativity is one of the central current topics of re-search in physics. There are several gravitational-wave candidates observeddaily by the gravitational wave observatories. The increase of precision ofquantum photonics will allow shortly tests of interplay of quantum physicsand general relativity. Mathematical general relativity is the theory whichprovides an appropriate mathematical framework for such studies, and thestudy of black holes is one of the core subjects. The aim of these lectures isto provide students a solid background to current research in this area.
Exam
The student will have the choice to write a short memoir on anadvanced topic mutually agreed with the lecturer, or to pass an exam wherehe will asked to present a randomly chosen topic out of a list of topicsprovided before hand.
- Elements of causality theory
- Asymptotics in general relativity
- Some explicit spacetimes: Schwarzschild, Kerr, Reissner-Nordstroem, Majumdar-Papapetrou
- Conformal and projection diagrams
- Variational identities (“black hole thermodynamics”)
General relativity is one of the central current topics of re-search in physics. There are several gravitational-wave candidates observeddaily by the gravitational wave observatories. The increase of precision ofquantum photonics will allow shortly tests of interplay of quantum physicsand general relativity. Mathematical general relativity is the theory whichprovides an appropriate mathematical framework for such studies, and thestudy of black holes is one of the core subjects. The aim of these lectures isto provide students a solid background to current research in this area.
Exam
The student will have the choice to write a short memoir on anadvanced topic mutually agreed with the lecturer, or to pass an exam wherehe will asked to present a randomly chosen topic out of a list of topicsprovided before hand.
日期
2026年03月18日 至 06月10日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周三 | 09:50 - 12:15 | Shuangqing-C546 | ZOOM 05 | 293 812 9202 | BIMSA |
修课要求
Differential geometry, basic general relativity
参考资料
The geometry of black holes, Oxford University Press 2020.
视频公开
公开
笔记公开
公开
讲师介绍
Piotr Chrusciel is an expert in all aspects of mathematical general relativity. He is the receipient of the Plumey Medal of the French Academy of Sciences and of the Erwin Schroedinger Institute Medal. He serves at several editorial boards, including Communications in Mathematical Physics and Living Reviews in Relativity. He has a PhD from the Polish Academy of Sciences in Warsaw, and has held professorial positions in Tours (France), in Oxford (UK), and in Vienna (Austria). He is currently a professor at the Beijing Institute for Mathematical Sciences and Applications in Huarou, and in the Center for Theoretical Physics of the Polish Academy of Sciences in Warsaw.