Geometric invariant measuring the deviation from Kerr data.
A geometrical invariant for regular asymptotically Euclidean data for the vacuum Einstein field equations is constructed. This invariant vanishes if and only if the data correspond to a slice of the Kerr black hole spacetime--thus, it provides a measure of the non-Kerr-like behavior of generic data. In order to proceed with the construction of the geometric invariant, we introduce the notion of approximate Killing spinors.
Bäckdahl
Thomas
T
School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom. t.backdahl@qmul.ac.uk
Valiente Kroon
Juan A
JA