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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 2020 to 2023
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. prof. RNDr. Jiří Bičák, DrSc., dr. h. c.
Teacher(s):	doc. RNDr. Oldřich Semerák, DSc.
Classification:	Physics > Theoretical and Math. Physics
Is co-requisite for:	NTMF006, NTMF038
Is incompatible with:	NGEM027

Opinion survey results Examination dates WS schedule Noticeboard

Annotation -

Tensor analysis. Curvature and Einstein gravitational law. Schwarzschild solution of Einstein equations. Black holes and gravitational collapse. Astrophysics of black holes. General relativity in other branches of physics. Linearised theory of gravitation, gravitational waves. For the 1st year of the TF, MOD and AA studies. Knowledge of general relativity is presumed on the level of TMF111 lecture.

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)

texty poskytnuté přednášejícími

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 -

More on geometry: Lie derivative and space-time symmetries, tensor densities, covariant divergence, Fermi-Walker transport.

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

Pericentre precession and light bending in the Schwarzschild field.

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 (thermo)dynamics, 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, plane gravitational waves, wavefronts, exact plane wave.

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