Hyperboloidal foliations and scri-fixing

Details Hyperboloidal foliations and scri-fixing Hyperboloidal foliations and scri-fixing

2007-12-28

arxiv.org/abs/0712.4333v2

Class.Quant.Grav.25:145002,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 14 figures. Published version

Scientific paper

10.1088/0264-9381/25/14/145002

We discuss a gauge choice which allows us to avoid the introduction of artificial timelike outer boundaries in numerical studies of test fields based on a 3+1 decomposition of asymptotically flat background spacetimes. The main idea is to include null infinity in the computational domain by conformally compactifying the metric on hyperboloidal foliations and fixing the spatial coordinate location of null infinity, i.e. scri-fixing. We construct such coordinates explicitly on Minkowski, Schwarzschild and Kerr spacetimes.

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