An Introduction to the Relativistic Theory of Gravitation

  • Geometrization of Mechanics
  • Relativistic Particle Dynamics in Gravitational Fields
  • Field Dynamics
  • Dynamics of Gravity
    • The Action
    • The Einstein Equations
      • Properties of the Curvature Tensor
    • General Covariance of the Einstein Equations
    • Weak Gravitational Field
      • Auxiliary Metrics and Gauge Transformations
  • Cosmological Models
  • Rotationally Symmetric Models of Stars
    • Hydrostatic Equilibrium of Non-rotating Stars
    • Properties of the Schwarzschild Solution
    • Oppenheimer–Snyder Collapse Model
  • Stationary Black Holes
    • Hypersurfaces
      • Definition
      • Tangential Vectors
      • Induced Metric
      • Normal
      • Classification of Hypersurfaces
    • Rotating Charged Black Holes
      • First Look at Kerr–Newman Space–Time