Geometric Invariant Measuring the Deviation from Kerr Data

Details Geometric Invariant Measuring the Deviation from Kerr Data Geometric Invariant Measuring the Deviation from Kerr Data

2010-01-25

arxiv.org/abs/1001.4492v2

Phys.Rev.Lett.104:231102,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, added lemma, changed references

Scientific paper

10.1103/PhysRevLett.104.231102

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.

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