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ID: 372097.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
Hyperboloidal evolution with the Einstein equations
Authors:Zenginoglu, Anil
Date of Publication (YYYY-MM-DD):2008-10-17
Title of Journal:Classical and Quantum Gravity
Volume:25
Issue / Number:19
Sequence Number of Article:195025
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
Identifiers:LOCALID:arXiv:0808.0810
URL:http://lanl.arxiv.org/abs/0808.0810
DOI:10.1088/0264-9381/25/19/195025
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cqg8_19_195025.pdf  [156,00 Kb] [Comment:Online Journal]  
 
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