General Relativity
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| 02OR | ZK | 3 | 3+0 | Czech |
- Lecturer:
- Oldřich Semerák (guarantor)
- Tutor:
- Supervisor:
- Department of Physics
- Synopsis:
-
Introduction to general theory of relativity: principle of equivalence and principle of general covariance, parallel transport and geodesic equation, gravitational redshift; curvature and Einstein's gravitational law. Schwarzschild solution of Einstein equations and black holes. General relativity in astrophysics and cosmology: relativistic stellar models, final stages of stellar evolution; Friedmann's cosmological models.
- Requirements:
-
02TEF2, 02GMF1
- Syllabus of lectures:
-
1. Theory of gravitation and physical picture of the world.
2. Equivalence principle. General covariance (general relativity) principle.
3. Parallel transport and equation of geodesic; affine connection.
4. Covariant derivative.
5. Riemann curvature tensor. Ricci tensor and scalar curvature.
6. Einstein´s gravitational law.
7. Schwarzschild´s solution of Einstein equations.
8. Schwarzschild black hole - horizon, singularity.
9. Black holes. Kerr´s solution of Einstein equations. Gravitational collapse.
10. Astrophysical aspects of black holes.
11. Relativistic stellar models.
12. Fundamentals of relativistic cosmology.
- Syllabus of tutorials:
- Study Objective:
-
Knowledge:
Learn the fundamentals of contemporary gravitation theory.
Skills:
Solving simple examples from gravitaion theory.
- Study materials:
-
Key references:
[1] Dvořák L.: General Relativity Theory and Modern Physical View of the Universe (in Czech), SPN, Praha 1984
Recommended references:
[2] P. Hájíček: An introduction to the relativistic theory of gravitation, Springer, Berlin 2008Recommended references:
- Note:
- Time-table for winter semester 2020/2021:
- Time-table is not available yet
- Time-table for summer semester 2020/2021:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- BS Matematické inženýrství - Matematické modelování (elective course)
- BS Matematické inženýrství - Matematická fyzika (compulsory course of the specialization, elective course)
- BS Matematické inženýrství - Aplikované matematicko-stochastické metody (elective course)
- BS Matematická informatika (elective course)
- BS Informatická fyzika (elective course)
- BS Aplikace softwarového inženýrství (elective course)
- BS Aplikovaná informatika (elective course)
- BS jaderné inženýrství B (elective course)
- BS Jaderné inženýrství C (elective course)
- BS Dozimetrie a aplikace ionizujícího záření (elective course)
- BS Experimentální jaderná a částicová fyzika (elective course)
- BS Radiologická technika (elective course)
- BS Inženýrství pevných látek (elective course)
- BS Diagnostika materiálů (elective course)
- BS Fyzika a technika termojaderné fúze (elective course)
- BS Fyzikální elektronika (elective course)
- Bc Laser Technology and Instrumentation (elective course)
- BS Fyzikální technika (elective course)
- BS Jaderná chemie (elective course)