An Introduction to Relativity

  • The special theory of relativity
    • Historical background
    • The Michelson and Morley experiment
    • Exercises
  • From the special to the general theory of relativity
    • Space, time and gravitation
    • Non-Euclidean geometries
  • Vectors and tensors
    • The spacetime metric
    • Scalars and vectors
      • Scalars
      • Covariant vectors
  • Covariant differentiation
    • The concept of general covariance
    • Parallel transport
    • Some useful identities
  • Curvature of spacetime
  • Spacetime symmetries
  • Physics in curved spacetime
  • Einstein’s equations
  • The Schwarzschild solution
  • Experimental tests of general relativity
  • Gravitational radiation
  • Relativistic astrophysics
  • Black holes
  • The expanding Universe
  • Friedmann models
  • The early Universe
  • Observational cosmology
  • Beyond relativity