A first numerical implementation of the symmetry-free conformal horizon multipole construction, validated on Kerr and applied to an equal-mass non-spinning binary merger.
Approximate Killing Vectors on S^2
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abstract
We present a new method for computing the best approximation to a Killing vector on closed 2-surfaces that are topologically S^2. When solutions of Killing's equation do not exist, this method is shown to yield results superior to those produced by existing methods. In addition, this method appears to provide a new tool for studying the horizon geometry of distorted black holes.
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Conformal-Mapping Method for Horizon Multipoles in Numerical Relativity: Implementation, Kerr Validation, and Applications Beyond Axisymmetry
A first numerical implementation of the symmetry-free conformal horizon multipole construction, validated on Kerr and applied to an equal-mass non-spinning binary merger.