Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-07-23
Phys.Rev. D57 (1998) 863-875
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, Revtex, 2 figures. Conclusions expanded. Source code to be made public. Accepted for Phys. Rev. D
Scientific paper
10.1103/PhysRevD.57.863
We review the problem of finding an apparent horizon in Cauchy data (Sigma, g_ab, K_ab) in three space dimensions without symmetries. We describe a family of algorithms which includes the pseudo-spectral apparent horizon finder of Nakamura et al. and the curvature flow method proposed by Tod as special cases. We suggest that other algorithms in the family may combine the speed of the former with the robustness of the latter. A numerical implementation for Cauchy data given on a grid in Cartesian coordinates is described, and tested on Brill-Lindquist and Kerr initial data. The new algorithm appears faster and more robust than previous ones.
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