A Short Course in General Relativity

  • Vector and Tensor fields
    • Introduction
    • Coordinate systems in Euclidean space
    • Suffix notation
  • The spacetime of general relativity and paths of particles
    • Geodesics
    • Parallel vectors along a curve
    • Absolute and covariant differentiation
    • Geodesic coordinates
  • Field equations and Curvature
  • Physics in the vicinity of a massive object
  • Gravitational Radiation
  • Elements of cosmology
    • Introduction
    • Robert son-Walker line element
    • Field equations
  • Appendices
    • A – Special relativity review
    • B – The Chinese connection
    • C – Tensors and Manifolds 0.