Characteristic Evolution and Matching

Abstract

I review the development of numerical evolution codes for general relativity based upon the characteristic initial value problem. Progress is traced from the early stage of 1D feasibility studies to current 3D black codes that simulate binary black holes. A prime application of characteristic evolution is Cauchy-characteristic matching, which is also reviewed.

Article in Living Reviews 2001

References in corpus (5)

• Critical phenomena in gravitational collapse
• Self-similar and charged spheres in the diffusion approximation
• Gravitational Instability of a Kink
• Equation of state and transport processes in self--similar spheres
• Complete null data for a black hole collision

Cited by in corpus (19)

• A 3+1 perspective on null hypersurfaces and isolated horizons
• Well-Posed Initial-Boundary Evolution in General Relativity
• On the well posedness of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's field equations
• Multi-block simulations in general relativity: high order discretizations, numerical stability, and applications
• Axisymmetric core collapse simulations using characteristic numerical relativity
• Black hole head-on collisions and gravitational waves with fixed mesh-refinement and dynamic singularity excision
• Simulating the dynamics of relativistic stars via a light-cone approach
• News from Critical Collapse: Bondi Mass, Tails and Quasinormal Modes
• Scalar field induced oscillations of neutron stars and gravitational collapse
• Non-linear harmonic generation in finite amplitude black hole oscillations
• The 3-dimensional Einstein-Klein-Gordon system in characteristic numerical relativity
• Violation of energy conditions and entropy production in holographic Bjorken flow
• Well-posed first-order reduction of the characteristic problem of the linearized Einstein equations
• Estimates for the characteristic problem of the first-order reduction of the wave equation
• A new look at the Bondi-Sachs energy-momentum
• Bounds on the energy densities of ground states on static spacetimes of compact objects
• Numerical evolution of plane gravitational waves in the Friedrich-Nagy gauge
• Exact boundary conditions in numerical relativity using multiple grids: scalar field tests
• Estimates for first-order homogeneous linear characteristic problems