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The lecture is devoted to classification and description of main classes of exact solutions of Einstein's field equations of general relativity, including their generalizaton to higher dimensions. We will concentrate on exact spacetimes which represent cosmological models, black holes and gravitational waves, in particular their algebraic and geometrical
properties and physical interpretation.
Last update: G_F (14.05.2014)
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Oral examination Last update: Houfek Karel, doc. RNDr., Ph.D. (05.05.2023)
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Griffiths J. B., Podolský J.: Exact Space-Times in Einstein's General Relativity. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge, 2009.
Stephani H., Kamer D., MacCallum M., Hoenselaers C., Herlt E.: Exact Solutions of Einstein's Equations. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge, 2003.
Bičák J.: Selected solutions of Einstein’s field equations: their role in general relativity and astrophysics, in Einstein’s Field Equations and their Physical Implications, Lecture notes in physics 540, Springer, Dordrecht, 2000.
Misner C. W., Thorne K. S., Wheeler J. A.: Gravitation, Freeman, San Francisco, 1973. Last update: T_UTF (14.05.2014)
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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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various faces of flat Minkowski spacetime de Sitter and anti-de Sitter universe of constant curvature conformally flat FLRW cosmologies electrovacuum spacetimes (Bertotti-Robinson, Nariai etc) various generalizations of the Schwarzschild black hole main representatives of the Weyl class of metrics Kerr rotating black hole versus the Taub-NUT solution accelerating black holes and other objects general Plebański-Demiański class of solutions gravitational pp-waves Kundt family of spacetimes Robinson-Trautman family of spacetimes impulsive gravitational waves and their collision Last update: G_F (14.05.2014)
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