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.
- Publication:
-
Physical Review D
- Pub Date:
- October 1996
- DOI:
- arXiv:
- arXiv:gr-qc/9606010
- Bibcode:
- 1996PhRvD..54.4849B
- Keywords:
-
- 04.20.Cv;
- 02.60.Cb;
- 02.70.Rw;
- 04.25.Dm;
- Fundamental problems and general formalism;
- Numerical simulation;
- solution of equations;
- Numerical relativity;
- General Relativity and Quantum Cosmology
- E-Print:
- 14 pages (RevTeX 3.0 with 3 figures)