Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation tests

Details Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation tests Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation tests

2005-12-24

arxiv.org/abs/gr-qc/0512149v2

Class.Quant.Grav. 23 (2006) 4829-4846

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Numerical tests improved, conclusions extended

Scientific paper

10.1088/0264-9381/23/15/004

We investigate the use of asymptotically null slices combined with stretching or compactification of the radial coordinate for the numerical simulation of asymptotically flat spacetimes. We consider a 1-parameter family of coordinates characterised by the asymptotic relation $r\sim R^{1-n}$ between the physical radius $R$ and coordinate radius $r$, and the asymptotic relation $K\sim R^{n/2-1}$ for the extrinsic curvature of the slices. These slices are asymptotically null in the sense that their Lorentz factor relative to stationary observers diverges as $\Gamma\sim R^{n/2}$. While $1

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