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An explicit harmonic code for black-hole evolution using excision

MPS-Authors
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Szilagyi,  Bela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Pollney,  Denis
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rezzolla,  Luciano
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Thornburg,  Jonathan
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Winicour,  Jeffrey
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

cqg7_12_s18.pdf
(Publisher version), 401KB

0612150v2.pdf
(Preprint), 397KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Szilagyi, B., Pollney, D., Rezzolla, L., Thornburg, J., & Winicour, J. (2007). An explicit harmonic code for black-hole evolution using excision. Classical and Quantum Gravity, 24, S275-S293. Retrieved from http://www.iop.org/EJ/abstract/0264-9381/24/12/S18.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-49E9-8
Abstract
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.