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Published May 15, 1996 | Published + Submitted
Journal Article Open

Implementing an apparent-horizon finder in three dimensions

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.

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.

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Published - PhysRevD.54.4849.pdf

Submitted - 9606010.pdf

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August 18, 2023
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