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Journal Article

#### Hyperboloidal evolution with the Einstein equations

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##### Fulltext (public)

cqg8_19_195025.pdf

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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.