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Course, academic year 2023/2024
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Gravitational Waves II - NTMF099
Title: Gravitační vlny II
Guaranteed by: Institute of Theoretical Physics (32-UTF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023 to 2023
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
Key competences: critical thinking
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: prof. RNDr. Jiří Podolský, CSc., DSc.
Classification: Physics > Theoretical and Math. Physics
Comes under: Doporučené přednášky 2/2
Annotation -
Last update: prof. RNDr. Jiří Podolský, CSc., DSc. (03.05.2019)
The course is a continuation of NTMF089 Gravitational Waves which is an introduction to an extensive field of study of gravitational waves in Einstein’s general relativity. In this part, selected topics in theory of gravitational waves and radiation will be studied in more detail.
Aim of the course -
Last update: prof. RNDr. Jiří Podolský, CSc., DSc. (03.05.2019)

The aim of the course is to concentrate more deeply on selected topics in the theory of exact and perturbative gravitational waves.

Course completion requirements -
Last update: doc. RNDr. Karel Houfek, Ph.D. (05.05.2023)

Oral examination

Literature -
Last update: prof. RNDr. Jiří Podolský, CSc., DSc. (03.05.2019)

Misner C. W., Thorne K. S., Wheeler J. A.: Gravitation, Freeman, San Francisco, 1973.

Schutz B. F.: A First Course in General Relativity. Cambridge University Press, Cambridge, 1985.

Ciufolini et al. (eds.): Gravitational Waves. Institute of Physics, Bristol, 2001.

Bičák J., Rudenko V. N.: skripta Teorie relativity a gravitační vlny, Univerzita Karlova, Praha, 1985.

Griffiths J. B., Podolský J.: Exact Space-Times in Einstein's General Relativity. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge, 2009.

Kennefick D.: Traveling at the Speed of Thought: Einstein and the Quest for Gravitational Waves. Princeton University Press, Princeton, 2007.

Podolský, J.: Teorie gravitačního záření, Čs. čas. fyz. A55 (2005) 86.

Requirements to the exam -
Last update: doc. RNDr. Karel Houfek, Ph.D. (05.05.2023)

The oral examination follows the syllabus of the course as covered by the lectures.

Syllabus -
Last update: prof. RNDr. Jiří Podolský, CSc., DSc. (03.05.2019)

Einstein’s linearized gravitational waves versus exact pp-waves. Discussion of measurable properties and effects (Ricci and Weyl tensors, algebraic structure, geodesic deviation in a general dimension, including any cosmological constant). Standard methods of 1960s, asymptotic behaviour of radiative spacetimes (Bondi-Sachs, optical scalars, news, peeling, Penrose conformal methods etc.). Exact solutions to Einstein’s equations describing gravitational waves (main classes: Kundt and Robinson-Trautman, impulsive waves, collision of plane waves, further exact solutions and their properties). Principal perturbation methods (Isaacson’s high-frequency approximation, geometrical optics, Efroimsky, PPN, EOB etc.).

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