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Last update: prof. RNDr. Jiří Podolský, CSc., DSc. (03.05.2019)
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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. |
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Last update: doc. RNDr. Karel Houfek, Ph.D. (05.05.2023)
Oral examination |
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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. |
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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. |
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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.). |