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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 2024
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
Additional information:	http://utf.mff.cuni.cz/vyuka/NTMF038

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
Comes under:	Doporučené přednášky 1/2
Co-requisite :	NTMF037

Opinion survey results Examination dates Noticeboard

Annotation -

A continuation of the relativistic-physics course (it follows the subject NTMF037). Lagrangian formalism and conservation laws in general relativity, Noether's theorems. Cauchy problem. Vector fields and their integral congruences, Frobenius theorem. 3+1 splitting of space-time. Hamiltonian formalism in general relativity. Concepts of causal structure, globally hyperbolic space-times. Basics of algebraic classification of tensor fields.

Last update: Houfek Karel, doc. RNDr., Ph.D. (16.05.2024)

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 -

Lagrangian formalism and conservation laws in general relativity, Noether theorems.

Caychy problem for scalar field, electrodynamics and gravitation.

Time-like and light-like congruences, Sachs equations.

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

Hamiltonian formalism in general relativity.

Notions of causal structure, globally hyperbolic space-times.

Basics of algebraic classification of tensor fields.

Talks from various areas of relativistic physics.

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