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- Academic unit or major
- Undergraduate major in Physics
- Instructor(s)
- Siino Masaru
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Tue9-10(H135) Fri9-10(H135)
- Group
- -
- Course number
- PHY.F353
- Credits
- 2
- Academic year
- 2018
- Offered quarter
- 1Q
- Syllabus updated
- 2018/4/13
- 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, differential geometry
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 | guidance, introduction (paradox of twins) | special relativity |
| Class 2 | space, manifold, coordinate | concept of spacetime |
| Class 3 | vector, tensor 1 | tensor algebra |
| Class 4 | vector, tensor 2 | general covariance |
| Class 5 | geodesic equation | connection, geodesic |
| Class 6 | Riemann curvature | differential geometry |
| Class 7 | Einstein equation | equivalence principle |
| Class 8 | examination | foundation of general relativity |
| Class 9 | spherically symmetric spacetime solution | Schwarzschild metric |
| Class 10 | blackhole 1 | Kurskal coordinate |
| Class 11 | black hole 2 | causality of black hole |
| Class 12 | expanding universe 1 | Friedmann equations |
| Class 13 | expanding universe 2 | expanding universe solutions |
| Class 14 | extended topics | quantum theory, gravitational wave |
| Class 15 | examintation | application of general relativity |
Textbook(s)
none
Reference books, course materials, etc.
Landau–Lifshitz The Classical Theory of Fields
R.M.Wald General Relativity
Assessment criteria and methods
Evaluate how much a student understands basic ideas, calculation methods, and their applications. Evaluation will be done through examination.
Related courses
- PHY.F431 ： Cosmology
- PHY.F432 ： Astrophysics
Prerequisites (i.e., required knowledge, skills, courses, etc.)
special relativity、liniear algebra
