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Bf.15: Introduction to General Relativity
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Schedule:
Tirsdag, 11:15, 520-333; Torsdag, 13:15, 520-333
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
Weekly notes:
  1. Equivalence principle. Noninertial frames and curved spaces.
  2. Our first curved space -- constantly accelerating elevator. Rindler space. Vectors in a curved space.
  3. Contravariant and covariant vectors. Covariant differentiantion. Christoffel symbols. Metric tensor. Geodesics.
  4. Geodesic from the variational principle. Maxwell equations in the gravitational field. Equation of motion of a charged particle in both gravitational and electromagnetic field. The Riemann curvature tensor.
  5. Least action principle. Action for matter in gravitation field. Variation of the action with respect to gab and the energy-momentum tensor of matter.
  6. The Hilbert's action for the gravitation field. Einstein's equations. Newtonian (weak and slow) limit of the Einstein's equations.
  7. Gravitational waves.
  8. Schwarzshild metric. Radiall fall in the Schwarzshild field. Lemaitre coordinates. Event horizons. Black holes.
  9. Advance of the perihelion of Mercury. Bending of light.
  10. Gravitational redshift. Relativistic cosmology.
  11. Isotropic universe. Friedmann's equations.
  12. Space-time metric of the isotropic universe.
  13. Cosmological redshift and the Hubble constant. Quantum gravity.
  14. Prøve.
Copyleft © 2003 D.V.Fedorov (fedorov@ifa.au.dk)