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          Institute: MPI für Gravitationsphysik     Collection: Geometric Analysis and Gravitation     Display Documents



ID: 429837.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
Characteristic Evolution and Matching
Authors:Winicour, Jeffrey
Language:English
Date of Publication (YYYY-MM-DD):2009
Title of Journal:Living Reviews in Relativity
Volume:12
Sequence Number of Article:3
Review Status:not specified
Audience:Not Specified
Abstract / Description: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 2D axisymmetric codes that accurately simulate the oscillations and gravitational collapse of relativistic stars and to current 3D codes that provide pieces of a binary black hole spacetime. Cauchy codes have now been successful at simulating all aspects of the binary black hole problem inside an artificially constructed outer boundary. A prime application of characteristic evolution is to eliminate the role of this artificial outer boundary via Cauchy-characteristic matching, by which the radiated waveform can be computed at null infinity. Progress in this direction is discussed.
Major update of lrr-2005-10
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
Identifiers:URL:http://www.livingreviews.org/lrr-2005-10 [Open Access Journal]
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