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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.
Last update: Podolský Jiří, prof. RNDr., CSc., DSc. (03.05.2019)
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The aim of the course is to concentrate more deeply on selected topics in the theory of exact and perturbative gravitational waves. Last update: Podolský Jiří, prof. RNDr., CSc., DSc. (03.05.2019)
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Oral examination Last update: Houfek Karel, doc. RNDr., Ph.D. (05.05.2023)
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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. Last update: Podolský Jiří, prof. RNDr., CSc., DSc. (03.05.2019)
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The oral examination follows the syllabus of the course as covered by the lectures. Last update: Houfek Karel, doc. RNDr., Ph.D. (05.05.2023)
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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.). Last update: Podolský Jiří, prof. RNDr., CSc., DSc. (03.05.2019)
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