Implementing an apparent horizon finder in three-dimensions
Jun, 1996
14 pages
Published in:
- Phys.Rev.D 54 (1996) 4849-4857
e-Print:
- gr-qc/9606010 [gr-qc]
Report number:
- CRSR-1115
View in:
Citations per year
Abstract: (arXiv)
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 et al., 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.- 04.25.Dm
- 02.60.Cb
- 02.70.Rw
- 04.20.Cv
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