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Introduction to General Theory of Relativity. First quarter 2007.
- Examination:
- October 22, 08:55-12:00, Fys-Aud
Non-obligatory exercises: Note 3, exercise 2; Note 4, exercise 2, 3;
Consultations: Wednesday, 19/10, 09:15-10:00, 520-616.
Results (statistical)
- Schedule:
- Lectures: Tuesday, 13:15, 520-616; Thursday, 14:15, 520-616
- Seminars: Friday, 13:15 520-616
- Weekly notes:
-
-
[ ps,
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(25.06)
Introduction. Special relativity.
- [ ps,
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(25.06)
Einstein's equivalence principle.
- [ ps,
pdf, png,
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(25.06)
Vectors in curvilinear coordinates. Covariant
differentiantion. Geodesics.
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pdf, png,
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(25.06)
Constantly accelerating elevator. Rindler space.
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(25.06)
Variational principle. Geodesics from the variational principle.
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(25.06)
Riemann's curvature tensor.
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ps,
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(25.06)
Action of matter in a curved space. Hilbert action for gravitation.
Einstein equations.
-
[
ps,
pdf,
png,
html
] (25.06)
Newtonian limit.
Gravitational waves.
-
[
ps,
pdf,
png,
html
] (25.06)
Schwarzschild solution.
Motion in the Schwarzschild metric.
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[
ps,
pdf,
png,
html
] (25.06)
Classical tests:
anomalous perihelion shift;
bending of light;
gravitational redshift.
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[
ps,
pdf,
png,
html
] (25.06)
Radial fall in the Schwarzschild metric. Lemaitre
coordinates. Event horizons. Black holes.
-
[
ps,
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png,
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] (25.06)
Homogeneous and isotropic universe. Fri
edman
metric. Friedman
equation.
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[
ps,
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png,
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] (25.06)
Space-time of an isotropic universe. Cosmological
redshift. Hubble
constant.
- Lecturer:
- Dmitri Fedorov
- Literature:
-
-
Pensum:
ps,
pdf, png,
html
(25.06)
-
GTR FAQ:
ps,
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html
(25.06)
-
Gerard 't Hooft, Introduction to General Relativity
(500K
PostScript file)
Rinton Press, Inc., Princeton NJ, ISBN 1-58949-000-2
- Links:
-
Old home,
Wikipedia,
MathWorld
Copyleft
©
2005-2007 D.V.Fedorov
(fedorov @ phys au dk)