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Excising a boosted rotating black hole with overlapping grids

Authors
  • Calabrese, Gioel
  • Neilsen, David
Type
Published Article
Publication Date
Jan 10, 2005
Submission Date
Dec 21, 2004
Identifiers
DOI: 10.1103/PhysRevD.71.124027
arXiv ID: gr-qc/0412109
Source
arXiv
License
Unknown
External links

Abstract

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.

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