2019 General Relativity

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Academic unit or major
Undergraduate major in Physics
Siino Masaru 
Course component(s)
Day/Period(Room No.)
Tue3-4(W242)  Fri3-4(W242)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
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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


relativity, gravitation, spacetime, differential geometry

Competencies that will be developed

Intercultural skills Communication skills Specialist skills Critical thinking skills Practical and/or problem-solving skills
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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



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

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