Course title
1M5201001
Fundamentals of Mathematical Physics /Exercise1

 MAEDA Kengo
Course content
The theory of general relativity is essential to understand the large scale structure of our universe or black hole geometry. It is applied to not only astrophysics, but also particle physics and condensed matter physics. This course deals with the principle of general relativity and how it is applied to the other area of physics.
Goals and objectives
  1. Understand Maxwell equations in terms of tensor field
  2. Understand the geometrical and causal structure of a given metric
  3. To derive exact solutions by imposing symmetry on spacetime
  4. Ability of oral presentation about research and writing a master’s thesis
Language
Japanese
Class schedule
Special relativity I(Lorentz trans. and 4-vector)Special relativity II (Maxwell equations and electromagnetic four-potential)Differential geometry I(metric tensor)Differential geometry II(parallel transport and metric connection)Differential geometry III(brief review of analytical mechanics)Differential geometry IV (geodesic equation)Differential geometry V (curvature tensor)Einstein equation IEinstein equation IIExpanding universeBlack hole I(geometry of black hole)Black hole II(exact solutions of black hole)black hole thermodynamicsAdS black holes and the application to AdS/CFT correspondence
Evaluation method and criteria
Your final grade will be calculated based on reports. To pass, students must earn at least 60 points out of 100.
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Textbooks and reference materials
J. Hartle, Gravity: An introduction to Einstein's General Relativity 桐原書店
R. Wald, General Relativity, The university of Chicago Press
Prerequisites
Knowledge of basic electromagnetisms and classical mechanics.
Office hours and How to contact professors for questions
  • Time during 16:50 - 17:50
    Except for that time, it is recommended to make contact with teacher by e-mail.
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
About half of the classes are interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Sat Sep 09 08:40:28 JST 2023