CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2020/2021

# Special Theory of Relativity

Code Completion Credits Range
02STR ZK 2 2+0
Lecturer:
David Břeň (guarantor)
Tutor:
Supervisor:
Department of Physics
Synopsis:

Students extend their knowledge of classical, non-quantum mechanics of the special theory of relativity fundamentals.

Requirements:
Syllabus of lectures:

1. Introduction, history, experiments leading to special theory of relativity, Newtonian mechanics, the electromagnetic field theory, basic principles.

2. Galileo transformation, Lorentz transformation and its consequences. Relativity of simultaneity, time dilation, length contraction, velocity-addition formula, four-dimensional formalism, spacetime.

3. Transformation of variables and their properties, tensor, covariant and contravariant indices.

4. The event, space-time interval, proper time and their transformations, general Lorentz transformation, rapidity, Minkowski (metric) tensor.

5. Light cone, causality, relativistic paradoxes superluminal speeds problem.

6. Dynamic, four-speed, four-acceleration, mass, collisions, conservation laws, four-force, Newton's equations of motion in the Special Theory of Relativity.

7. Energy, momentum, the relationship between mass and energy.

8. Aberration of light, Doppler effect, wave four-vector and its Lorentz transformation.

9. Continuity equation, the four-current, Maxwell's equations, the four-potential.

10. Lorentz gauge condition, the electromagnetic tensor, Lorentz. transformation of four-potential.

11. Lagrange function, continuum, energy-momentum tensor.

12. Equivalence principle, locally inertial frame, a very brief introduction to OTR

13. Metrics of curved spacetime, the gravitational redshift, cosmological redshift.

Syllabus of tutorials:
Study Objective:

Acquired knowledge:

Students extend their knowledge of classical, non-quantum mechanics of the special theory of relativity fundamentals.

Acquired skills:

The emphasis is put on the applying of new abstract concepts on the description and solution of relativistic physical situations and phenomena

Study materials:

Key references

[2] Kvasnica J.: Teorie elektromagnetického pole, Academia, Praha 1985

[3] Semerák O.: Speciální teorie relativity, skripta ke stejnojmenné přednášce MFF UK, Praha 2012, http://utf.mff.cuni.cz/~semerak/STR.pdf

Recommended references:

[4] Kulhánek P.: TF4 Obecná relativita, skripta ke stejnojmenné přednášce FEL ČVUT v Praze, Praha 2016, http://www.aldebaran.cz/studium/otr.pdf

[5] Misner C. W., Thorne K. S., Wheeler J. A.: Gravitation, W. H. Freeman, San Francisco 1973

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:
Data valid to 2021-01-27
For updated information see http://bilakniha.cvut.cz/en/predmet12075905.html