Approximate Killing Vectors on S^2

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.

4 pages, 3 figures, submitted to Physical Review D, revtex4

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