A fast stroboscopic spectral method for rotating systems in numerical relativity

Details A fast stroboscopic spectral method for rotating systems in numerical relativity A fast stroboscopic spectral method for rotating systems in numerical relativity

2007-03-23

arxiv.org/abs/gr-qc/0703118v2

Class.Quant.Grav.24:4037-4052,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 15 figures

Scientific paper

10.1088/0264-9381/24/16/005

We present a numerical technique for solving evolution equations, as the wave equation, in the description of rotating astrophysical compact objects in comoving coordinates, which avoids the problems associated with the light cylinder. The technique implements a fast spectral matching between two domains in relative rotation: an inner spherical domain, comoving with the sources and lying strictly inside the light cylinder, and an outer inertial spherical shell. Even though the emphasis is placed on spectral techniques, the matching is independent of the specific manner in which equations are solved inside each domain, and can be adapted to different schemes. We illustrate the strategy with some simple but representative examples.

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