Geometric Invariant Measuring the Deviation from Kerr Data
General Relativity and Quantum Cosmology
2010-11-11 v2
Abstract
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.
Cite
@article{arxiv.1001.4492,
title = {Geometric Invariant Measuring the Deviation from Kerr Data},
author = {Thomas Bäckdahl and Juan A. Valiente Kroon},
journal= {arXiv preprint arXiv:1001.4492},
year = {2010}
}
Comments
4 pages, added lemma, changed references