Matching characteristic codes: exploiting two directions

Abstract

Combining incoming and outgoing characteristic formulations can provide numerical relativists with a natural implementation of Einstein's equations that better exploits the causal properties of the spacetime and gives access to both null infinity and the interior region simultaneously (assuming the foliation is free of caustics and crossovers). We discuss how this combination can be performed and illustrate its behavior in the Einstein-Klein-Gordon field in 1D.

10 pages, 9 postscript figures. To appear in Int. Journ. of Mod. Phys. D

References in corpus (3)

• Quantifying excitations of quasinormal mode systems
• Boosted three-dimensional black-hole evolutions with singularity excision
• A Scheme to Numerically Evolve Data for the Conformal Einstein Equation

Cited by in corpus (11)

• Extraction of Gravitational Waves in Numerical Relativity
• Mode coupling in the nonlinear response of black holes
• Characteristic Evolution and Matching
• Characteristic Evolution and Matching
• Towards absorbing outer boundaries in General Relativity
• Characteristic Evolution and Matching
• Spherically symmetric scalar field collapse in any dimension
• On characteristic initial data for a star orbiting a black hole
• The 3-dimensional Einstein-Klein-Gordon system in characteristic numerical relativity
• Black hole factory: a review of double-null formalism
• Global energy conservation in nonlinear spherical characteristic evolutions