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Locating Boosted Kerr and Schwarzschild Apparent Horizons

Mijan F. Huq·Matthew W. Choptuik·Richard A. Matzner
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Abstract

We describe a finite-difference method for locating apparent horizons and illustrate its capabilities on boosted Kerr and Schwarzschild black holes. Our model spacetime is given by the Kerr-Schild metric. We apply a Lorentz boost to this spacetime metric and then carry out a 3+1 decomposition. The result is a slicing of Kerr/Schwarzschild in which the black hole is propagated and Lorentz contracted. We show that our method can locate distorted apparent horizons efficiently and accurately.

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Mijan F. Huq, Matthew W. Choptuik, Richard A. Matzner. 2000-02-22. Locating Boosted Kerr and Schwarzschild Apparent Horizons. https://doi.org/10.1103/physrevd.66.084024

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