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Course, academic year 2024/2025
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Relativistic physics I - NTMF037
Title: Relativistická fyzika I
Guaranteed by: Institute of Theoretical Physics (32-UTF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2024
Semester: winter
E-Credits: 9
Hours per week, examination: winter s.:4/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: English, Czech
Teaching methods: full-time
Additional information: http://utf.mff.cuni.cz/vyuka/NTMF037
Guarantor: doc. RNDr. Oldřich Semerák, DSc.
Teacher(s): doc. RNDr. Oldřich Semerák, DSc.
Dr. rer. nat. Mgr. Vojtěch Witzany
Classification: Physics > Theoretical and Math. Physics
Is co-requisite for: NTMF006, NTMF038
Is incompatible with: NGEM027
Annotation -
Applications of general relativity in the theory of stationary black holes and of stellar structure. Schwarzschild, Reissner-Nordström and Kerr(-Newman) solutions of Einstein equations, gravitational collapse and “no-hair” theorems, black-hole thermodynamics. Equilibria of spherically symmetric stars and their radial oscillations. Final stages of stellar evolution - degenerate fermi gas, Chandrasekhar limit. Tensor densities. Fermi-Walker transport. Linearised theory of gravitation and gravitational waves. Variational derivation of Einstein equations. The course follows the subject NTMF111.
Last update: Houfek Karel, doc. RNDr., Ph.D. (17.05.2024)
Course completion requirements - Czech

Předmět je zakončen zápočtem a ústní zkouškou. Podmínkou pro zápočet je účast na seminární části výuky plus jednou během semestru (popř. akademického roku) prezentace určeného tématu. Zápočet se nedá opakovat.

Last update: Semerák Oldřich, doc. RNDr., DSc. (16.04.2023)
Literature - Czech

Bičák J., Ruděnko V. N., Teorie relativity a gravitační vlny (skriptum UK, Praha 1986)

Kuchař K.: Základy obecné teorie relativity (Academia, Praha 1968)

Misner C. W., Thorne K. S., Wheeler J. A.: Gravitation (Freeman, San Francisco 1973)

Weinberg S.: Gravitation and Cosmology (J. Wiley, New York 1972)

Wald R. M., General Relativity (University of Chicago Press, 1984)

Bičák J., Semerák O.: Relativistic Physics (lecture notes accessible from the course website)

Last update: Semerák Oldřich, doc. RNDr., DSc. (17.05.2024)
Requirements to the exam - Czech

Zkouška je ústní, požadavky odpovídají sylabu, v detailech pak tomu, co bylo během semestru odpřednášeno.

Last update: Semerák Oldřich, doc. RNDr., DSc. (06.10.2017)
Syllabus -

Invariant and coordinate features of the Schwarzschild solution, analytic extension of the metric.

Pericentre precession and light bending in the Schwarzschild field.

Tensor densities. Fermi-Walker transport.

Reissner-Nordström solution of the Einstein equations.

Kerr and Kerr-Newman solutions of the Einstein equations, Carter equations for electro-geodesic test motion.

Gravitational collapse and black holes: black-hole uniqueness theorems, formation of black holes, laws of black-hole thermodynamics, extraction of energy from black holes.

Relativistic theory of stellar equilibria: description of a static and spherically symmetric star, equations of stellar equilibria, radial oscillations and stability.

Final stages of stellar evolution: degenerate fermion gas, white dwarfs and neutron stars; Chandrasekhar limit.

Linearized theory of gravitation and plane gravitational waves, wavefronts, exact plane wave.

Last update: Semerák Oldřich, doc. RNDr., DSc. (17.05.2024)
 
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