Exact Space-Times in Einstein’s General Relativity

  • Introduction
  • Basic tools and concepts
  • Minkowski space-time
  • de Sitter space-time
  • Anti-de Sitter space-time
  • Friedmann–Lemaˆıtre–Robertson–Walker space-times
  • Electrovacuum and related background space-times
  • Schwarzschild space-time
  • Space-times related to Schwarzschild
  • Static axially symmetric space-times
  • Rotating black holes
  • Taub–NUT space-time
  • Stationary, axially symmetric space-times
  • Accelerating black holes
  • Further solutions for uniformly accelerating particles
  • Pleba´nski–Demia´nski solutions
  • Plane and pp-waves
  • Kundt solutions
  • Robinson–Trautman solutions
  • Impulsive waves
  • Colliding plane waves
  • A final miscellany
    • Homogeneous Bianchi models
    • Kantowski–Sachs space-times
    • Cylindrical gravitational waves
    • Vacuum G2 cosmologies
    • Majumdar–Papapetrou solutions
    • G¨odel’s rotating universe
    • Spherically symmetric Lemaˆıtre–Tolman solutions
    • Szekeres space-times without symmetry