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General relativity


  • Introduction
    • Position of general relativity within physics
    • Equivalence principle
    • Spectral shift
  • Motion in curved space
    • Metric tensor
    • Co- and contravariant vectors, tensors
    • Free particle in curvilinear coordinates
    • Schwarzschild metric
    • Motion in a gravitational field
    • Nonrelativistic approximation
    • Motion in the Schwarzschild metric
    • Some consequences of curved space in the solar system
      • Spectral shift
      • Perihelion advance
      • Deflection of light
      • Radar time delay
  • Einstein's field equations
    • Parallel transport and covariant derivative
    • Geodesic deviation
    • Riemann's curvature tensor and Ricci tensor
    • Parallel transport and curvature
    • Energy-momentum tensor
    • Einstein's field equations
    • Basic cosmology
    • Gravitational waves