Spherically symmetric massless Einstein-scalar field
The topic of this course is the Einstein-scalar field system in the spherical symmetry. We shall concentrate on a series of papers by Christodoulou in the 80s and 90s on the systematic study of this model. The main results covered in this course shall be the following:
1. Global existence of classical solutions for small initial data
2. Behaviour of the spacetime metric and scalar field on the horizon
3. Formation of black hole
4. Example of naked singularity
1. Global existence of classical solutions for small initial data
2. Behaviour of the spacetime metric and scalar field on the horizon
3. Formation of black hole
4. Example of naked singularity
讲师
日期
2024年03月26日 至 06月18日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周二 | 13:30 - 16:55 | A3-3-301 | ZOOM B | 462 110 5973 | BIMSA |
修课要求
Differential geometry
参考资料
The problem of a self-gravitating scalar field. Comm. Math. Phys. 105 (1986), no. 3, 337–361.
A mathematical theory of gravitational collapse. Comm. Math. Phys. 109 (1987), no. 4, 613–647.
The formation of black holes and singularities in spherically symmetric gravitational collapse. Comm. Pure Appl. Math. 44 (1991), no. 3, 339–373.
Examples of naked singularity formation in the gravitational collapse of a scalar field. Ann. of Math. (2) 140 (1994), no. 3, 607–653.
A mathematical theory of gravitational collapse. Comm. Math. Phys. 109 (1987), no. 4, 613–647.
The formation of black holes and singularities in spherically symmetric gravitational collapse. Comm. Pure Appl. Math. 44 (1991), no. 3, 339–373.
Examples of naked singularity formation in the gravitational collapse of a scalar field. Ann. of Math. (2) 140 (1994), no. 3, 607–653.
听众
Advanced Undergraduate
, Graduate
视频公开
不公开
笔记公开
不公开
语言
中文
讲师介绍
乐鹏宇博士毕业于苏黎世联邦理工学院，后在美国密西根大学从事博士后研究，2021年9月入职北京雁栖湖应用数学研究院，担任助理研究员，致力于微分几何和与广义相对论相关的基础数学研究。