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arXiv · 0808.0810

Hyperboloidal evolution with the Einstein equations

Anil Zenginoglu
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Abstract

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.

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Anil Zenginoglu. 2008-08-06. Hyperboloidal evolution with the Einstein equations. https://doi.org/10.1088/0264-9381%2F25%2F19%2F195025

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