1. The principle of equivalence 2. Curvilinear coordinates 3. Spacelike and timelike intervals 4. Covariant differentiation 5. Connection and metric 6. Motion of particles in the gravitational field 7. Constant gravitational field 8. Equations of electrodynamics in the gravitational field 9. Definition of the curvature tensor 10. Properties of the curvature tensor 11. The gravitational action 12. Energy-momentum tensor 13. Einstein's equations 14. The energy-momentum pseudotensor of the gravitational field 15. Sinhronized reference frame 16. Tetrad form of Einstein's equations 17. Newton's law 18. Spherically symmetric gravitational field 19. Motion in spherically symmetric gravitational field 21. Spherically symmetric gravitational collapse 22. Spherically symmetric collapse of the ball of dust 22. Weak gravitational waves 23. Killing vectors 24. Homogeneous and isotropic space 25. Closed model of the universe 26. Open model of the universe 27. Gravitational redshift
Requirements include: 1 seminar Literature: L. D. Landau, E. M. Lifshits, Teoriya polya (Moskva, 1973) S. Weinberg, Gravitation and Cosmology R. Wald, General Relativity (Chicago, 1984) Lightman, Press, Price and Teukolsky, Problem book ... This course is followed by Gravitation 2
