480-4002/01 – Fundamental Principles of Physics II (FPFII)
| Gurantor department | Department of Physics | Credits | 3 |
| Subject guarantor | Doc. Dr. RNDr. Petr Alexa | Subject version guarantor | Doc. Dr. RNDr. Petr Alexa |
| Study level | undergraduate or graduate | Requirement | Optional |
| Year | | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | USP, FEI | Intended for study types | Master, Follow-up Master |
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
Lectures
Seminars
Summary
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.
E-learning
Other requirements
Compulsory attendance at seminars.
Prerequisities
Subject has no prerequisities.
Co-requisities
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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