Phys. Rev. D 76, 041501(R) (2007) [5 pages]

Approximate Killing vectors on S²

Abstract

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Gregory B. Cook^1,* and Bernard F. Whiting^2,†
¹Department of Physics, Wake Forest University, Winston-Salem, North Carolina 27006, USA
²Department of Physics, University of Florida, Gainesville, Florida 32611, USA

Received 17 January 2007; published 10 August 2007

We present a new method for computing the best approximation to a Killing vector on closed 2-surfaces that are topologically S². 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.

URL:

http://link.aps.org/doi/10.1103/PhysRevD.76.041501

DOI:

10.1103/PhysRevD.76.041501

PACS:

04.25.Dm, 02.40.−k, 04.70.Bw

^*cookgb@wfu.edu

^†bernard@phys.ufl.edu

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Phys. Rev. D 76, 041501(R) (2007) [5 pages]

Approximate Killing vectors on S2

Approximate Killing vectors on S²