Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-12-22
Class.Quant.Grav.24:S275-S293,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, 6 postscript figures, uses iopams.sty, iopart10.clo, iopart12.clo, iopart.cls, setstack.sty
Scientific paper
10.1088/0264-9381/24/12/S18
We describe an explicit in time, finite-difference code designed to simulate black holes by using the excision method. The code is based upon the harmonic formulation of the Einstein equations and incorporates several features regarding the well-posedness and numerical stability of the initial-boundary problem for the quasilinear wave equation. After a discussion of the equations solved and of the techniques employed, we present a series of testbeds carried out to validate the code. Such tests range from the evolution of isolated black holes to the head-on collision of two black holes and then to a binary black hole inspiral and merger. Besides assessing the accuracy of the code, the inspiral and merger test has revealed that individual apparent horizons can touch and even intersect. This novel feature in the dynamics of the marginally trapped surfaces is unexpected but consistent with theorems on the properties of apparent horizons.
Pollney Denis
Rezzolla Luciano
Szilagyi Bela
Thornburg Jonathan
Winicour Jeffrey
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