Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-12-21
Phys.Rev. D71 (2005) 124027
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages, 12 figures
Scientific paper
10.1103/PhysRevD.71.124027
We use the overlapping grids method to construct a fourth order accurate discretization of a first order reduction of the Klein-Gordon scalar field equation on a boosted spinning black hole blackground in axisymmetry. This method allows us to use a spherical outer boundary and excise the singularity from the domain with a spheroidal inner boundary which is moving with respect to the main grid. We discuss the use of higher order accurate energy conserving schemes to handle the axis of symmetry and compare it with a simpler technique based on regularity conditions. We also compare the single grid long term stability property of this formulation of the wave equation with that of a different first order reduction.
Calabrese Gioel
Neilsen David
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