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- Liberal arts and basic science courses
- Academic unit or major
- Undergraduate major in Physics
- Instructor(s)
- Yamaguchi Masahide
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Tue9-10(H137) Fri9-10(H137)
- Group
- -
- Course number
- PHY.F353
- Credits
- 2
- Academic year
- 2016
- Offered quarter
- 1Q
- Syllabus updated
- 2017/1/11
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
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Course description and aims
This course presents concepts and ideas of general relativity, which describes geometry and gravitation. Topics include the applications to astrophysics and cosmology as well.
The aim of this course is to understand the basics of general relativity.
Student learning outcomes
The aim of this course is for students to understand applications to cosmology and astrophysics as well as basic concepts and ideas of general relativity
Keywords
relativity, gravitation, spacetime
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
Explain basic concepts on the blackboard.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | special relativity | special relativity |
| Class 2 | equivalence principle and relativity | equivalence principle and relativity |
| Class 3 | tensor algebra | tensor algebra |
| Class 4 | Riemann geometry | connection, curvatrure |
| Class 5 | geodesic equation | geodesic equation |
| Class 6 | energy-momentum tensor | energy-momentum tensor |
| Class 7 | Einstein equation | Einstein equation |
| Class 8 | integration in curved spacetime | integration in curved spacetime |
| Class 9 | variation method | variation method |
| Class 10 | spherically symmetric spacetime | Schwarzschild metric |
| Class 11 | blackhole | penrose diagram |
| Class 12 | perihelion precession of Mercury | perihelion precession of Mercury |
| Class 13 | bending of light rays | bending of light rays |
| Class 14 | gravitational wave | quadrupole formula |
| Class 15 | cosmology | Homogeneous and isotropic spacetime |
Textbook(s)
none
Reference books, course materials, etc.
Schutz, A first course in general relativity
Assessment criteria and methods
Evaluate how much a student understands basic ideas, calculation methods, and their applications. Evaluation will be done through reports.
Related courses
- PHY.F431 ： Cosmology
- PHY.F432 ： Astrophysics
Prerequisites (i.e., required knowledge, skills, courses, etc.)
special relativity
