Abstract: (arXiv)
These notes summarize basic concepts underlying numerical relativity and in particular the numerical modeling of black hole dynamics as a source of gravitational waves. Main topics are the 3+1 decomposition of general relativity, the concept of a well-posed initial value problem, the construction of initial data for general relativity, trapped surfaces and gravitational waves. Also, a brief summary is given of recent progress regarding the numerical evolution of black hole binary systems.
Note:
  • 28 pages, lectures given at winter school 'Conceptual and Numerical Challenges in Femto- and Peta-Scale Physics' in Schladming, Austria, 2007
  • lectures
  • black hole: binary
  • boundary condition
  • general relativity
  • gravitational radiation: particle source
  • Einstein equation
  • differential equations
  • numerical methods
  • numerical calculations
  • bibliography