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arxiv: 0706.0199 · v1 · submitted 2007-06-01 · 🌀 gr-qc

Approximate Killing Vectors on S²

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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