Lectures

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Lecture notes

Complete scriptum

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



G. Moortgat-Pick
Last modified: 2-Feb-2023