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Pseudospectral apparent horizon finders: An efficient new algorithm

Pseudospectral apparent horizon finders: An efficient new algorithm

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 …