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Characteristic Evolution and Matching
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DOI：10.12942/lrr-2009-3.png)
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Abstract
En 中文
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.
Keywords:
INITIAL-VALUE-PROBLEM
ABSORBING BOUNDARY-CONDITIONS
VACUUM FIELD-EQUATIONS
CAUCHY-CHARACTERISTIC EXTRACTION
PARTIAL-DIFFERENTIAL-EQUATIONS
GRAVITATIONAL-WAVE EXTRACTION
LATE-TIME BEHAVIOR
BRANS-DICKE THEORY
BLACK-HOLE
NUMERICAL RELATIVITY
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