CLASSICAL FIELDS: GENERAL RELATIVITY AND GAUGE THEORY

  • The Gravitational Field
    • Newtonian Gravitation
    • Basic Properties or the Gravitational Field
    • Null Experiments
    • Principle of Equivalence
    • Principle of General Covariance
  • The Geometry of Curved Spacetime
    • Transformation of coordinates
      • Contravariant vectors, Invariants, Covariant vectors
    • Tensors
      • Definition of a Tensor, Tensor Algebra
  • The Einstein Field Equations
    • The Gravitational Field Equations
      • Derivation of the gravitational field equations, Properties of the Einstein field equations
    • The Newtonian Limit of the Einstein Field Equations
    • Action integral for the Gravitational Field
    • Equations of Electrodynamics in Presence of Gravitation
  • Gravitational Fields of Elementary Mass System
  • Properties of the Gravitational Field
  • Equation of Motion In General Relativity
  • Axisymmetric Solutions of the Einstein Field Equations
  • Splnor Formulation or Gravitation and Gauge Fields
  • Classification of the Gravitational and Gauge Fields
  • Gauge Theory of Gravitation and Other Fields
  • Appendix A: Extended Bodies In General Relativity