Lecture Notes on the General Theory of Relativity

From Newton’s Attractive Gravity to the Repulsive Gravity of Vacuum Energy

  • Newton’s Law of Universal Gravitation
  • The Special Theory of Relativity
  • Vectors, Tensors and Forms
  • Accelerated Reference Frames
  • Covariant Differentiation
  • Curvature
  • Einstein’s Field Equations
  • The Schwarzschild Spacetime
  • Black Holes
  • Schwarzschild’s Interior Solution
  • Cosmology
    • Comoving Coordinate System
    • Curvature Isotropy – The Robertson–Walker Metric
    • Cosmic Dynamics
      • Hubble’s Law
      • Cosmological Redshift of Light
      • Cosmic Fluids
      • Isotropic and Homogeneous Universe Models