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Course, academic year 2018/2019
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Exact Spacetimes - NTMF088
Title in English: Přesné prostoročasy
Guaranteed by: Institute of Theoretical Physics (32-UTF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018 to 2018
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: prof. RNDr. Jiří Podolský, CSc., DSc.
Classification: Physics > Theoretical and Math. Physics
Annotation -
Last update: G_F (14.05.2014)
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.
Course completion requirements - Czech
Last update: prof. RNDr. Jiří Podolský, CSc., DSc. (14.06.2019)

Ústní zkouška

Literature -
Last update: T_UTF (14.05.2014)

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.

Syllabus -
Last update: G_F (14.05.2014)

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

 
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