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Approximate Killing Vectors on S^2

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arxiv 0706.0199 v1 pith:FZYLLZRO submitted 2007-06-01 gr-qc

Gregory B. Cook , Bernard F. Whiting This is my paper · ORCID
classification gr-qc
keywords killingmethodadditionappearsapproximateapproximationbestblack
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Conformal-Mapping Method for Horizon Multipoles in Numerical Relativity: Implementation, Kerr Validation, and Applications Beyond Axisymmetry

    gr-qc 2026-08 conditional novelty 6.0 of 10

    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.

  2. Characterizing the Properties and Constitution of Compact Objects in Gravitational-Wave Binaries

    gr-qc 2024-11 conditional novelty 5.0 of 10

    Tidal heating imprints from black hole horizons can be captured by two effective parameters and modeled through merger, offering a future test to distinguish black holes from exotic horizonless objects.

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