480-4002/01 – Fundamental Principles of Physics II (FPFII)

Gurantor departmentDepartment of PhysicsCredits3
Subject guarantorMgr. Jana Trojková, Ph.D.Subject version guarantorMgr. Jana Trojková, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesUSP, FEIIntended for study typesFollow-up Master, Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
SLA0112 doc. RNDr. Petr Slaný, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 2+1

Subject aims expressed by acquired skills and competences

1. To introduce relativistic mechanics in its special and general formulation 2. On some examples, demonstrate its interesting consequences. 3. Introduction to the basics of special relativity and formulation of physical laws in a 4-dimensional Minkowski space-time.

Teaching methods



The theory of relativity is one of the fundamental pillars of modern physics and, together with quantum theory, it helps to create the contemporary physical image of the world. In the lecture we will get acquainted with its initial ideas and necessary consequences of relativistic description of particular mechanical processes. The first part of the lecture is devoted to the description from the perspective of inertial systems (special theory of relativity), in the second, we will focus on a general description from the perspective of non-inertial systems, the main consequence of which is a completely new view of gravity (general relativity).

Compulsory literature:

H. Stephani: Relativity: An Introduction to Special and General Relativity, 3rd ed. Cambridge Univ. Press, Cambridge 2004. R. d’Inverno: Introducing Einstein’s Relativity. Oxford Univ. Press, Oxford 1992. B. Schutz: A First Course in General Relativity, 2nd ed. Cambridge Univ. Press, Cambridge 2009.

Recommended literature:

J. B. Hartle: Gravity: An Introduction to Einstein’s General Relativity. Addison-Wesley 2003.

Way of continuous check of knowledge in the course of semester

Active students´ participation in communication at seminars.


Další požadavky na studenta

Compulsory attendance at seminars.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1. Principles of special theory of relativity, Lorentz transforms and their consequences. 2. Geometry of physics, Minkowski space-time, causal space-time structure. 3. Principle of least action in relativistic mechanics, covariant formulation of relativistic mechanics and electrodynamics, energy-momentum tensor and conservation laws. 4. Principles of general relativity, GRT as a theory of gravity, gravity as a curvature of space-time and the consequences of such a description. 5. Test particle motion, geodetic equation. Riemann's curvature tensor and its properties. 6. Einstein equations of the gravitational field, Newtonian limit. 7. Spatial space around static spherical body, motion of particles and photons in Schwarzschild space-time. Classical GRT tests (precession of Mercury´s perihelion, bending of light rays around the Sun, delay of radar signals).

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit Credit  
Mandatory attendence parzicipation: Active participation at seminars, at least 70%.

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2020/2021 (N0533A110006) Applied Physics P Czech Ostrava 1 Optional study plan
2019/2020 (N0533A110006) Applied Physics P Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner