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Approximate Killing Vectors on S^2 · Around

2007

Approximate Killing Vectors on S^2

Cook, Gregory B., Whiting, Bernard F.

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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.

Built on

J. D. Brown and J. W. York, Jr., Phys. Rev. D 47
1993
Earlier work this paper cites.
O. Dreyer, B. Krishnan, D. Shoemaker, and E. Schnetter, Phys. Rev. D 67
2003
Earlier work this paper cites.
L. B. Szabados, Living Rev. Relativity 7
2004
Earlier work this paper cites.

Similar

A. Ashtekar and B. Krishnan, Living Rev. Relativity 7
2004
Cited alongside, same era.
M. Caudill, G. B. Cook, J. D. Grigsby, and H. P. Pfeiffer, Phys. Rev. D 74
2006
Cited alongside, same era.
M. Campanelli, C. O. Lousto, Y. Zlochower, B. Krishnan, and D. Merritt (2006), LANL preprint archive, (gr-qc/0612076)
2006
Cited alongside, same era.

Then

E. Schnetter, B. Krishnan, and F. Beyer, Phys. Rev. D 74
2006
Later among the works it cites.
S. A. Hayward, Phys. Rev. D 74
2006
Later among the works it cites.
G. B. Cook and B. F. Whiting (2007), in preparation
2007
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