| Course Unit Code | 480-4002/01 |
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| Number of ECTS Credits Allocated | 3 ECTS credits |
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| Type of Course Unit * | Optional |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| SLA0112 | doc. RNDr. Petr Slaný, Ph.D. |
| Summary |
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| 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). |
| Learning Outcomes of the Course Unit |
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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. |
| Course Contents |
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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).
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| Recommended or Required Reading |
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| Required Reading: |
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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. |
J. Horský, J. Novotný – Mechanika ve fyzice, Academia, Praha, 2001
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.
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| Recommended Reading: |
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| J. B. Hartle: Gravity: An Introduction to Einstein’s General Relativity. Addison-Wesley 2003. |
| J. B. Hartle: Gravity: An Introduction to Einstein’s General Relativity. Addison-Wesley 2003. |
| Planned learning activities and teaching methods |
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| Lectures, Seminars |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit | Credit | | |