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- Academic unit or major
- Undergraduate major in Physics
- Instructor(s)
- Suyama Teruaki
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Tue3-4(S421) Fri3-4(S421)
- Group
- -
- Course number
- PHY.F353
- Credits
- 2
- Academic year
- 2021
- Offered quarter
- 1Q
- Syllabus updated
- 2021/3/19
- 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, special relativity | special relativity |
| Class 2 | space, manifold, coordinate | concept of spacetime |
| Class 3 | vector, tensor | tensor algebra |
| Class 4 | geodesic equation | connection, geodesic |
| Class 5 | Riemann curvature | differential geometry |
| Class 6 | Einstein equation | equivalence principle |
| Class 7 | weak gravity | recover the Newtonian gravity |
| Class 8 | spherically symmetric spacetime solution | Schwarzschild metric |
| Class 9 | black hole 1 | Kurskal coordinate |
| Class 10 | black hole 2 | causality of black hole |
| Class 11 | black hole 3 | derive various fundamental properties of black holes |
| Class 12 | gravitational waves 1 | derive equation for gravitational waves |
| Class 13 | gravitational waves 2 | determine life time of binary |
| Class 14 | expanding universe | derive solutions which describe the expanding space |
Out-of-Class Study Time (Preparation and Review)
To enhance effective learning, students are encouraged to review class content afterwards for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Information will be given during lectures.
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 report.
Related courses
- PHY.F431 ： Cosmology
- PHY.F432 ： Astrophysics
Prerequisites (i.e., required knowledge, skills, courses, etc.)
special relativity、liniear algebra
Contact information (e-mail and phone) Notice : Please replace from "[at]" to "@"(half-width character).
suyama[at]phys.titech.ac.jp
Office hours
No specific dates. Inform me in advance if you want to visit my office.
