Kerr Initial data

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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23 pages, 1 figure. Minor typos corrected and remark 2 added. To appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/25/20/205018

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.

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