Hyperboloidal evolution with the Einstein equations

Zenginoglu, Anil

doi:10.1088/0264-9381/25/19/195025

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Hyperboloidal evolution with the Einstein equations

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Zenginoglu, Anil
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Zenginoglu, A. (2008). Hyperboloidal evolution with the Einstein equations. Classical and Quantum Gravity, 25(19): 195025. doi:10.1088/0264-9381/25/19/195025.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-6D0E-9

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.