Lecturer(s)


Jelínek Petr, doc. RNDr. Ph.D.

Course content

Content of lectures: 1. What is the relativity? Space and time in classical mechanics. History  development of thinking from Aristotle to Einstein 2. Reference frames in classical mechanics. Newton's laws of classical mechanics. Galileo's transformation, Galileo's principle of relativity 3. Contradiction between electrodynamics and classical mechanics. Maxwell's equations of electromagnetic field, light as electromagnetic waves 4. Finite light speed and its measurement, Romer, Fizeau and MichelsonMorley experiment, consequences of finite light speed  classical light aberration 5. Einstein's special theory of relativity  basic postulates, Lorentz versus Galileo transformation 6. Consequences of Lorentz transformation  time dilation, length contraction, relativity of simultaneity, paradox of twins 7. Relativistic dynamics. Relativistic velocity composition law. Relativistic mass and energy. Equivalence of matter and energy 8. Minkowski spacetime, fourvectors 9. Special relativity in astrophysics, relativistic Doppler effect  longitudinal and transverse, gravitational redshift, relativistic aberration of light 10. Lorentz transform and Maxwell equations of electromagnetic field in spacetime 11. General relativity, principle of equivalence, inertial and gravitational mass, gravity, Einstein's gravitational law 12. Predictions of general relativity theory, black holes, gravitational waves, gravitational lenses 13. Experimental verification of general relativity theory. Cosmology, models of the universe, expansion of the universe, relativistic cosmology Content of practicals: Practical examples of special and general relativity theory and their applications in astrophysics

Learning activities and teaching methods

Monologic (reading, lecture, briefing)
 Class attendance
 26 hours per semester
 Preparation for credit
 15 hours per semester
 Preparation for classes
 13 hours per semester
 Preparation for exam
 21 hours per semester

Learning outcomes

The aim of the course is to provide students with basic knowledge of special and general theory of relativity. Students will be able to understand the basic problems of these disciplines and their applications in astrophysics.
After completing the course the student will be able to orientate in the basic problems of the theory of relativity, both special and general. He will be able to understand the phenomena in astrophysics and cosmology that are related to the theory of relativity.

Prerequisites

Prerequisite is the completion of general physics and mathematics courses. Knowledge of differential and integral calculus.

Assessment methods and criteria

Combined exam
Active student participation in lectures and 80% participation in seminars. Completion of 70% of examples from exercises, answering at least 80% of the content of the questions in the exam.

Recommended literature


Bartuška K.: Kapitoly ze speciální teorie relativity. SPN, Praha 1989.

Dvořák, L.: Obecná teorie relativity a moderní fyzikální obraz vesmíru, SPN, Praha 1984.

Hawking, S., Penrose, R.: Povaha prostoru a času, Academia, Praha 2000.

Horský, J., Novotný, J., Štefaník, M.: Úvod do fyzikální kosmologie, Acacemia, Praha 2004.

Votruba V.: Základy speciální teorie relativity. Academia, Praha 1977. (vybrané kapitoly).

Zee A: Einstein Gravity in a Nutshell, Princeton University Press, 2013.
