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FPF:FPFVA005 Relativistic Physics and Astro - Course Information

## FPFVA005 Relativistic Physics and Astrophysics

**Faculty of Philosophy and Science in Opava**

Winter 2020

**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 **Timetable of Seminar Groups**- FPFVA005/A: Wed 18:05–18:50 SM-UF,
*R. Konoplya, Z. Stuchlík* **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

- 1. Evolution of ideas of space, time and Universe
**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

- Enrolment Statistics (Winter 2020, recent)
- Permalink: https://is.slu.cz/course/fpf/winter2020/FPFVA005