English

Approximate Killing Vectors on S^2

General Relativity and Quantum Cosmology 2008-11-26 v1

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.

Cite

@article{arxiv.0706.0199,
  title  = {Approximate Killing Vectors on S^2},
  author = {Gregory B. Cook and Bernard F. Whiting},
  journal= {arXiv preprint arXiv:0706.0199},
  year   = {2008}
}
R2 v1 2026-06-21T08:34:23.649Z