General Relativity – I. B. Khriplovich

  • Introduction
  • Particle in Gravitational Field
    • Electrodynamics and Gravitation
    • Principle of Equivalence and Geometrization of Gravity
    • Equations of Motion of Point-Like Particle
    • The Newton Approximation
  • Fundamentals of Riemann Geometry
    • Contravariant and Covariant Tensors. Tetrads
    • Covariant Differentiation
    • Again Christoffel Symbols and Metric Tensor
    • Simple Illustration of Some Properties of Riemann Space
    • Tensor of Curvature
  • Einstein Equations
    • General Form of Equations
    • Linear Approximation
    • Again Electrodynamics and Gravity
    • Are Alternative Theories of Gravity Viable?
  • Weak Field. Observable Effects
    • Shift of Light Frequency in Constant Gravitational Field
    • Light Deflection by the Sun
    • Gravitational Lenses
  • Variational Principle. Exact Solutions
    • Action for Gravitational Field
    • Energy-Momentum Tensor of Matter
    • Gravitational Field of Point-Like Mass
    • Harmonic and Isotropic Coordinates.
    • Relativistic Correction to the Newton Law
    • Precession of Orbits in the Schwarzschild Field
    • Retardation of Light in the Field of the Sun
    • Motion in Strong Gravitational Field
    • Gravitational Field of Charged Point-Like Mass
  • Interaction of Spin with Gravitational Field
  • Gravitational Waves
  • General Relativity and Cosmology
  • Are Black Holes Really Black?.
    • Entropy and Temperature of Black Holes
    • Entropy, Horizon Area, and Irreducible Mass. Holographic Bound. Quantization of Black Holes