FPFVA005 Relativistic Physics and Astrophysics

Faculty of Philosophy and Science in Opava
Winter 2021
Extent and Intensity
0/1/0. 5 credit(s). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Zdeněk Stuchlík, CSc. (seminar tutor)
Roman Konoplya, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Zdeněk Stuchlík, CSc.
Faculty of Philosophy and Science in Opava
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 22 fields of study the course is directly associated with, display
Course objectives
The basic ideas of general relativity are presented and related to the ideas of special theory of relativity. The relevant parts of differential geometry are described and applied to the construction of the physical laws. The Einstein gravitational equations, relating the curvature of spacetime and matter distribution, are derived in a heurestic way. The vacuum Einstein equations are solved for the spherically symmetric spacetimes and the Schwarzschild solution is obtained that is used to demonstrated the three standard test of general relativity and the case of extremely strong gravitational field of black holes. The linearized Einstein equations are used to describe the weak gravitational waves. Finally, the Friedman cosmological models are discussed.
Syllabus
  • 1. Evolution of ideas of space, time and Universe
    2. Special Relativity and gravitation
    3. Principles of General Relativity
    4. Curved spacetime and its geometry
    5. Physical laws in curved spacetimes
    6. Einstein gravitational law
    7. Schwarzschild solution
    8. Tests of General Relativity
    9. Weak gravitational waves
    10. Stellar structure
    11. Black holes
    12. Friedman cosmological model
Language of instruction
English
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
" 66% attendance in classes
" active participation
" critical essay, 5-10 pages, related to some of the astrophysical problems
The course is also listed under the following terms Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Summer 2020, Winter 2020, Summer 2021, Summer 2022, Winter 2022, Summer 2023, Winter 2023, Summer 2024.
  • Enrolment Statistics (Winter 2021, recent)
  • Permalink: https://is.slu.cz/course/fpf/winter2021/FPFVA005