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Last update: doc. RNDr. Karel Houfek, Ph.D. (12.05.2022)
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Last update: doc. RNDr. Karel Houfek, Ph.D. (12.05.2022)
Oral exam. |
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Last update: doc. RNDr. Karel Houfek, Ph.D. (12.05.2022)
L. P. Eisenhart, Riemannian Geometry. Princeton University Press, Princeton, 2nd ed., 1949.
J. B. Griffiths and J. Podolsky, Exact Space-Times in Einstein's General Relativity. Cambridge University Press, Cambridge, 2009.
H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, and E. Herlt, Exact Solutions of Einstein's Field Equations. Cambridge University Press, Cambridge, 2nd ed., 2003.
M. P. Ryan and L. C. Shepley, Homogeneous Relativistic Cosmologies. Princeton University Press, Princeton, 1975.
Papers in scientific journals. |
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Last update: doc. RNDr. Karel Houfek, Ph.D. (12.05.2022)
The course is concluded by an oral exam, which may include both theoretical questions and problems (excercises) on topics from lectures. |
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Last update: doc. RNDr. Karel Houfek, Ph.D. (12.05.2022)
Isometries, Killing equation, conformal Killing equation, isometry groups. Spaces of constant curvature. Stationary and static spacetimes. Spherically symmetric spacetimes. Birkhoff's theorem in GR. Static black holes. Near horizon limits. Basic notions on Bianchi models. Part 2: Classification of tensors and applications (V. Pravda) Petrov classification, Newman-Penrose formalism, Goldberg-Sachs theorem. Higher dimensions: black holes/strings/rings. Basics of Lovelock gravity, f(R) gravity, quadratic gravity, critical gravity and examples of solutions. Kundt spacetimes. Scalar-tensor gravities. |