Table of Contents:
  • Machine generated contents note: 1.Minkowskian space-time
  • 1.1.Lorentz tansformations
  • 1.2.Non-singular and singular Lorentz transformations
  • 1.3.Infinitesimal Lorentz transformations
  • 1.4.Geometrical construction of a gravitational wave
  • 2.Plane gravitational waves
  • 2.1.From linear approximation to colliding waves
  • 2.2.Electromagnetic shock waves
  • 2.3.Gravitational shock waves
  • 2.4.High-frequency gravity waves
  • 3.Equations of motion
  • 3.1.Motivation
  • 3.2.Example of a background space-time
  • 3.3.Equations of motion of a Reissner-Nordstrom particle in first approximation
  • 3.4.Background space-time for a Kerr particle
  • 3.5.Equations of motion of a Kerr particle in first approximation
  • 3.6.Spinning test particles
  • 4.Inhomogeneous aspects of cosmology
  • 4.1.Plane-fronted gravitational waves with a cosmological constant
  • 4.2.Perturbations of isotropic cosmologies
  • 4.3.Gravitational waves
  • 4.4.Cosmic background radiation
  • 5.Black holes
  • 5.1.Introduction: Basic properties of black holes
  • 5.2.Collapsing null shells and trapped surface formation
  • 5.3.Scattering properties of high-speed Kerr black holes
  • 5.4.Inside the black hole
  • 5.5.Metric fluctuations and Hawking radiation
  • 6.Higher dimensional black holes
  • 6.1.Brief outline of D-dimensional black holes
  • 6.2.Gibbons-Penrose isoperimetric inequality and the hoop conjecture in D dimensions
  • 6.3.Light-like boost of higher dimensional black holes.