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  Dynamical damping terms for symmetry-seeking shift conditions

Alic, D., Rezzolla, L., Hinder, I., & Mösta, P. (2010). Dynamical damping terms for symmetry-seeking shift conditions. Classical and quantum gravity, 27(24): 245023. doi:10.1088/0264-9381/27/24/245023.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-C459-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-C45C-A
Genre: Journal Article

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1008.2212 (Preprint), 2MB
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 Creators:
Alic, Daniela1, Author              
Rezzolla, Luciano1, Author              
Hinder, Ian1, Author              
Mösta, Philip1, Author              
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: Suitable gauge conditions are fundamental for stable and accurate numerical-relativity simulations of inspiralling compact binaries. A number of well-studied conditions have been developed over the last decade for both the lapse and the shift and these have been successfully used both in vacuum and non-vacuum spacetimes when simulating binaries with comparable masses. At the same time, recent evidence has emerged that the standard "Gamma-driver" shift condition requires a careful and non-trivial tuning of its parameters to ensure long-term stable evolutions of unequal-mass binaries. We present a novel gauge condition in which the damping constant is promoted to be a dynamical variable and the solution of an evolution equation. We show that this choice removes the need for special tuning and provides a shift damping term which is free of instabilities in our simulations and dynamically adapts to the individual positions and masses of the binary black-hole system. Our gauge condition also reduces the variations in the coordinate size of the apparent horizon of the larger black hole and could therefore be useful when simulating binaries with very small mass ratios.

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 Dates: 2010-08-122010
 Publication Status: Published in print
 Pages: 11 pages, 8 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1008.2212
URI: http://arxiv.org/abs/1008.2212
DOI: 10.1088/0264-9381/27/24/245023
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 27 (24) Sequence Number: 245023 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925513480_1