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
Lecturer
Date
26th March ~ 18th June, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday | 13:30 - 16:55 | A3-3-301 | ZOOM B | 462 110 5973 | BIMSA |
Prerequisite
Differential geometry
Reference
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.
Audience
Advanced Undergraduate
, Graduate
Video Public
No
Notes Public
No
Language
Chinese
Lecturer Intro
Dr. Pengyu Le graduated from ETH Zürich in 2018, then became a Van Loo postdoctoral fellow in University of Michigan. He joined BIMSA as an assistant professor in 2021. His research interest lies in differential geometry and general relativity.