Oct 18: Start
Newton and Special Relativity (SR): Newton mechanics,
Galilei Transf., Principles of Relativity
Oct 20: SR: Lorentz Transformations
Oct 25: SR: Tensors in Minkowski, Minkowski
metric,
Alessandro's
Notes
Oct 27: SR: Proper time, Equations of motion, Paradoxa
Nov 1: Equivalence principle,
Start General Relativity (GR)
Nov 3: GR: Christoffel Symbols, Manifolds
Nov 8: GR: Tangentialvector, Vectorfield,
Directional Derivative
Nov 10: GR: Vectors, Co-vectors, Tangential
operators
Nov 15: GR: 1-forms, general tensors,
coordinate transformations, metrics
Nov 17: GR: Length of a curve, covariant derivatives
Nov 22: GR: Leibniz rule, parallel transport,
Geodesics
Nov 24: GR: Geodesics, Curvature, Riemann tensor, Ricci-tensor and -scalar,
Florent's Notes
Nov 29: GR: Relation curvature and
parallel transport, begin Einstein equations
Dec 1: GR: Einstein equations
Dec 6: GR: Action principle
Dec 8: GR: Action principle with matter, begin symmetries, diffeomorphism
Dec 13: GR:
Diffeomorphisms, Lie derivative
Dec 15: GR: Symmetries,
Killing vector fields, Conservation laws
Dec 20: GR: Schwarzschild metric, spherically symmetric mass distributions
Dec 22: GR: Schwarzschild radius,
interpretation, blackhole, Mathematica Code from Philipp Burghart for simulating Black Holes
Jan 10: GW: Red-shift,
Equation of motion in gravity fields,'Keplerproblem'
Jan 12: GW: Gravitational
Waves, linear approximation
Jan 17: GW: Linear field
equations, gauge transformations
Jan 19: GW: De Donder Gauge,
Solution of wave equations, Florent's Notes
Jan 24: GW: Interpretation of Polarization
Jan 26: Cos: Cosmology, Dervation of FLRW Metric, start: FRW equations for k=0
Jan 31: Cos: FRW equations for
k=0, Big Bang
Feb 2: Cos: Hubble Law, Light propagation, horizons