Course title
1M9920001
Advanced Relativity

 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.
Purpose of class
Understand the differential geometry, which is essential for black hole geometry and cosmological models. Understand equations of geodesic deviation and Einstein equations so that they can be applied to various fields 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
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1． Special relativity I(Lorentz trans. and 4-vector) instruct as appropriate 190minutes
2． Special relativity II (Maxwell equations and electromagnetic four-potential) instruct as appropriate 190minutes
3． Differential geometry I(metric tensor) instruct as appropriate 190minutes
4． Differential geometry II(parallel transport and metric connection) instruct as appropriate 190minutes
5． Differential geometry III(brief review of analytical mechanics) instruct as appropriate 190minutes
6． Differential geometry IV (geodesic equation) instruct as appropriate 190minutes
7． Differential geometry V (curvature tensor) instruct as appropriate 190minutes
8． Einstein equation I instruct as appropriate 190minutes
9． Einstein equation II instruct as appropriate 190minutes
10． Expanding universe instruct as appropriate 190minutes
11． Black hole I(geometry of black hole) instruct as appropriate 190minutes
12． Black hole II(exact solutions of black hole) instruct as appropriate 190minutes
13． black hole thermodynamics instruct as appropriate 190minutes
14． AdS black holes and the application to AdS/CFT correspondence instruct as appropriate 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 reports Total.
1. 30% 30%
2. 40% 40%
3. 30% 30%
Total. 100% -
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.
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 : Fri Mar 18 23:48:41 JST 2022