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Relativistic Physics II - NTMF038

Title:	Relativistická fyzika II
Guaranteed by:	Institute of Theoretical Physics (32-UTF)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2020
Semester:	summer
E-Credits:	9
Hours per week, examination:	summer 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
Teaching methods:	full-time
Additional information:	http://utf.mff.cuni.cz/vyuka/NTMF038

Guarantor:	doc. RNDr. Oldřich Semerák, DSc. prof. RNDr. Jiří Bičák, DrSc., dr. h. c.
Classification:	Physics > Theoretical and Math. Physics
Comes under:	Doporučené přednášky 1/2
Co-requisite :	NTMF037

Opinion survey results Examination dates SS schedule Noticeboard

Annotation -

Last update: G_F (28.05.2003)

Relativistic astrophysics: relativistic models of stars; Chandrasekhar limit and final stages of stellar evolution. Relativistic cosmology: Hubble expansion; cosmological principle, Robertson-Walker metric; Friedmann models; cosmological redshift; initial stages of evolution of the Universe, anthropic principle; perturbations of cosmological models. Selected advanced topics. Continuation of the lecture TMF037.

Course completion requirements - Czech

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

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.

Literature - Czech

Last update: T_UTF (05.04.2004)

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)

Requirements to the exam - Czech

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

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

Syllabus -

Last update: doc. RNDr. Oldřich Semerák, DSc. (21.11.2020)

Lagrangian formalism in general relativity -- variational derivation of the field equations.

Conservation laws in general relativity.

3+1 splitting of space-time, Gauss-Codazzi equations.

Initial problem.

Hamiltonian formalism in general relativity.

Notions of causal structure.

Time-like and light-like congruences.

Talks from various areas of relativistic physics.