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Hyperboloidal evolution with the Einstein equations
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DOI：10.1088/0264-9381/25/19/195025.png)
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摘要
En 中文
We consider an approach to the hyperboloidal evolution problem based on the Einstein equations written for a rescaled metric. It is shown that a conformal scale factor can be freely prescribed a priori in terms of coordinates in a well-posed hyperboloidal initial value problem such that the location of null infinity is independent of the time coordinate. With an appropriate choice of a single gauge source function each of the formally singular conformal source terms in the equations attains a regular limit at null infinity. The suggested approach could be beneficial in numerical relativity for both wave extraction and outer boundary treatment.
Keyword:
FIELD-EQUATIONS
GRAVITATIONAL WAVES
BOUNDARY-CONDITIONS
GENERAL RELATIVITY
INITIAL DATA
CAUCHY DATA
VACUUM
SMOOTHNESS
OBSTRUCTIONS
RADIATION
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期刊
IF:
3.7
论文数:
1.3W
被引数:
3.0W
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