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Introduction to General Relativity. First quarter 2005/2006.
[Examination requirements] [Old home]
NB:
Remember the web-based evaluation!
NB:
Det gik udmærket på fredag, synes jeg. Censoren var meget imponeret (især med Christian PJM) og har selv foreslået 13 i et par tilfælde (som jeg på forhånd ønskede at undgå).

Selv-vurdering gik helt fint -- i alle tilfælde var jeg enig med studerendes egen vurdering af sine præstationer.
Examination:
Monday, 24 Oct., and Friday, 28 Oct.
Preparations in 520-333, examinations in 520-525 (my office)
Monday, Oct. 24 Friday, Oct. 28

prep. exam.
prep. exam.
Thomas 9:00 10:00 Niels B 9:00 12:00
Christian PJM 9:30 10:30 Martin T 9:00 10:00
Jeppe 10:00 11:00 Kasper 9:30 10:30
Christian BM 10:30 11:30 Jacob B 10:00 11:00



Karsten B 10:30 11:30



30 min. pause



Anders M 12:00 13:00



Miguel 12:30 13:30



Pablo 13:00 14:00



Christian ABO 13:30 14:30
Schedule:
Lectures: Monday, 12:15, 520-216; Tuesday, 11:15, 520-616
Seminars: Friday, 08:15 (yes, crazy, I know) 520-616
Weekly notes:
  1. [pdf, htm] Equivalence principle.
  2. [pdf, htm] Constantly accelerating frame. Rindler space.
  3. [pdf, htm] Contravariant and covariant vectors. Covariant differentiantion. Christoffel symbols. Metric tensor. Geodesics as trajectories of free moving bodies.
  4. [pdf, htm] Geodesic from the variational principle. Maxwell equations in the gravitational field. Equation of motion of a charged particle in both gravitational and electromagnetic field.
  5. [pdf, htm] Reimann curvature tensor. Ricci tensor. Ricci scalar.
  6. [pdf, htm] Variation (least action) principle. Action of matter. Energy-momentum tensor of matter.
  7. [pdf, htm] Hilbert (-Einstein) action of gravitation. Einstein equation.
  8. [pdf, htm] Newtonian limit. Schwarzschild solution.
  9. [pdf, htm] Radial fall in the Schwarzschild metric. Lemaitre coordinates. Event horizons. Black holes.
  10. [pdf, htm] Motion in the Schwarzschild metric.
  11. [pdf, htm] Mercury perihelion advance. Bending of light.
  12. [pdf, htm] Gravitational waves. Gravitational redshift.
  13. [pdf, htm] Homogeneous and isotropic universe. Friedman metric. Friedman equation.
  14. [pdf, htm] Space-time of an isotropic universe. Cosmological redshift. Hubble constant.
  15. [pdf, htm] Problems
Lecturer:
Dmitri Fedorov
Literature:
* Ray d'Inverno, Introducing Einstein's Relativity
Gerard 't Hooft, Introduction to General Relativity (500K PostScript file)
Useful links:
Relativity on the World Wide Web, Wikipedia, MathWorld
Copyleft © 2005 D.V.Fedorov (fedorov @ phys au dk)