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Selected Topics on General Relativity I - NTMF063

Title:	Vybrané partie obecné relativity I
Guaranteed by:	Institute of Theoretical Physics (32-UTF)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022 to 2022
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech, English
Teaching methods:	full-time
Teaching methods:	full-time
Additional information:	http://utf.mff.cuni.cz/vyuka/NTMF063/

Guarantor:	prof. RNDr. Pavel Krtouš, Ph.D. RNDr. Otakar Svítek, Ph.D.

Opinion survey results Examination dates WS schedule Noticeboard

Annotation -

Last update: doc. RNDr. Karel Houfek, Ph.D. (04.02.2021)

Advanced topics in GR. Pool of topics contains: Gravitational field of accelerated sources. Cosmology. Global structure of FRW models. Hyperbolic problems in GR. Relativistic perturbations. Algebraic classification. Properties of congruences. Causal structure and horizons. Loop variables. Principal and associated bundles. Courses NTMF063 and NTMF073 cover different topics from the list. Intended for graduate students who completed the NTMF037 and NTMF038 courses.

Course completion requirements -

Last update: doc. RNDr. Karel Houfek, Ph.D. (05.05.2023)

Oral exam.

Literature - Czech

Last update: prof. RNDr. Pavel Krtouš, Ph.D. (25.09.2006)

C. W. Misner, K. S. Thorne a J. A. Wheeler: Gravitation, Freedman, San Francisco 1973.
S. W. Hawking a G. F. R. Ellis: The Large Scale Structure of Space-Time, Cambridge Univ. Press, Cambridge 1973.
E. Poisson: A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics, Cambridge Univ. Press, Cambridge 2004.

plus články v odborných časopisech

Requirements to the exam -

Last update: prof. RNDr. Pavel Krtouš, Ph.D. (24.01.2021)

The course is conclude by an oral exam. Student chooses two topics covered at the course. She/he gets questions from these two topics.

Syllabus -

Last update: prof. RNDr. Pavel Krtouš, Ph.D. (24.01.2021)

Generalized theories of gravity (R. Švarc)
Static black hole metrics in generalized gravities (M. Ortaggio)
Causal structure and quasilocal horizons (O. Svítek)
Black hole pertubations (J. Bičák)