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- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
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School of Environment and Society
- Department of Architecture and Building Engineering
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- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Physics
- Instructor(s)
- Ishibashi Akihiro
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Intensive (大岡山地区)
- Group
- -
- Course number
- PHY.P546
- Credits
- 1
- Academic year
- 2018
- Offered quarter
- 1-2Q
- Syllabus updated
- 2018/5/9
- Lecture notes updated
- -
- Language used
- English
- Access Index
-
Course description and aims
This lecture is intended to provide the basic concepts of the large scale structure of black hole spacetimes, followed by several mathematical theorems concerning properties of stationary black holes in general relativity. The topics taken up with particular focus are the following:
1. Exact solutions,
2. Spacetime singularity,
3. Topology and symmetry of stationary black holes,
4. Stability of stationary black holes,
5. Black hole mechanics and the uniqueness theorem.
This lecture will cover some of the main theorems given in Chapter 8 and 9 of Hawking and Ellis’s text book with, in particular, providing recent generalizations of some of these theorems to higher dimensions.
Student learning outcomes
This lecture is intended to provide the basic concepts of the large scale structure of black hole spacetimes, followed by several mathematical theorems concerning properties of stationary black holes in general relativity. The topics taken up with particular focus are the following:
1. Exact solutions,
2. Spacetime singularity,
3. Topology and symmetry of stationary black holes,
4. Stability of stationary black holes,
5. Black hole mechanics and the uniqueness theorem.
This lecture will cover some of the main theorems given in Chapter 8 and 9 of Hawking and Ellis’s text book with, in particular, providing recent generalizations of some of these theorems to higher dimensions.
Keywords
The large scale structure of black hole spacetimes
Competencies that will be developed
| ✔ Specialist skills | ✔ Intercultural skills | ✔ Communication skills | ✔ Critical thinking skills | Practical and/or problem-solving skills |
Class flow
Blackboard
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | unfixed: the lecturer will plan it. | unfixed: the lecturer will specify it. |
| Class 2 | unfixed: the lecturer will plan it. | unfixed: the lecturer will specify it. |
| Class 3 | unfixed: the lecturer will plan it. | unfixed: the lecturer will specify it. |
| Class 4 | unfixed: the lecturer will plan it. | unfixed: the lecturer will specify it. |
| Class 5 | unfixed: the lecturer will plan it. | unfixed: the lecturer will specify it. |
| Class 6 | unfixed: the lecturer will plan it. | unfixed: the lecturer will specify it. |
| Class 7 | unfixed: the lecturer will plan it. | unfixed: the lecturer will specify it. |
| Class 8 | unfixed: the lecturer will plan it. | unfixed: the lecturer will specify it. |
Textbook(s)
unfixed: the lecturer will specify it.
Reference books, course materials, etc.
unfixed: the lecturer will specify it.
Assessment criteria and methods
unfixed: the lecturer will define the criteria.
Related courses
- PHY.F353 ： General Relativity
Prerequisites (i.e., required knowledge, skills, courses, etc.)
unfixed: the lecturer will specify it.
