Kerr Initial data
General Relativity and Quantum Cosmology
2008-11-26 v2
Abstract
Exploiting a 3+1 analysis of the Mars-Simon tensor, conditions on a vacuum initial data set ensuring that its development is isometric to a subset of the Kerr spacetime are found. These conditions are expressed in terms of the vanishing of a positive scalar function defined on the initial data hypersurface. Applications of this result are discussed.
Cite
@article{arxiv.0805.4505,
title = {Kerr Initial data},
author = {Alfonso García-Parrado Gómez-Lobo and Juan A. Valiente Kroon},
journal= {arXiv preprint arXiv:0805.4505},
year = {2008}
}
Comments
23 pages, 1 figure. Minor typos corrected and remark 2 added. To appear in Classical and Quantum Gravity