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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)
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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)
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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)
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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)
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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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