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Implementing an apparent-horizon finder in three dimensions

Baumgarte, Thomas W. and Cook, Gregory B. and Scheel, Mark A. and Shapiro, Stuart L. and Teukolsky, Saul A. (1996) Implementing an apparent-horizon finder in three dimensions. Physical Review D, 54 (8). pp. 4849-4857. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20180713-163543029

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Abstract

Locating apparent horizons is not only important for a complete understanding of numerically generated spacetimes, but it may also be a crucial component of the technique for evolving black-hole spacetimes accurately. A scheme proposed by Libson, Massó, Seidel, and Suen, based on expanding the location of the apparent horizon in terms of symmetric trace-free tensors, seems very promising for use with three-dimensional numerical data sets. In this paper, we generalize this scheme and perform a number of code tests to fully calibrate its behavior in black-hole spacetimes similar to those we expect to encounter in solving the binary black-hole coalescence problem. An important aspect of the generalization is that we can compute the symmetric trace-free tensor expansion to any order. This enables us to determine how far we must carry the expansion to achieve results of a desired accuracy. To accomplish this generalization, we describe a new and very convenient set of recurrence relations which apply to symmetric trace-free tensors.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevD.54.4849DOIArticle
https://arxiv.org/abs/gr-qc/9606010arXivDiscussion Paper
ORCID:
AuthorORCID
Teukolsky, Saul A.0000-0001-9765-4526
Additional Information:© 1996 American Physical Society. (Received 6 June 1996) We would like to thank Peter Anninos and Edward Seidel for helpful discussions. This work was supported by NSF Grant Nos. AST 91-19475 and PHY 94-08378, NASA Grant No. NAG-2809, and by the Grand Challenge Grant Nos. NSF PHY 93-18152/ASC 93-18152 (ARPA supplemented). Computations were performed at the Cornell Center for Theory and Simulation in Science and Engineering, which is supported in part by the National Science Foundation, IBM Corporation, New York State, and the Cornell Research Institute.
Funders:
Funding AgencyGrant Number
NSFAST 91-19475
NSFPHY 94-08378
NASANAG-2809
NSFPHY 93-18152
NSFASC 93-18152
Advanced Research Projects Agency (ARPA)UNSPECIFIED
Issue or Number:8
Classification Code:PACS numbers: 04.20.Cv, 02.60.Cb, 02.70.Rw, 04.25.Dm
Record Number:CaltechAUTHORS:20180713-163543029
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180713-163543029
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87861
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:16 Jul 2018 23:07
Last Modified:22 Nov 2019 09:58

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