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.
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
relativity, gravitation, spacetime, differential geometry
|Intercultural skills||Communication skills||Specialist skills||Critical thinking skills||Practical and/or problem-solving skills|
Explain basic concepts on the blackboard.
|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|
Landau–Lifshitz The Classical Theory of Fields
R.M.Wald General Relativity
Evaluate how much a student understands basic ideas, calculation methods, and their applications. Evaluation will be done through examination.
special relativity、liniear algebra