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arXiv · 1001.4492

Geometric Invariant Measuring the Deviation from Kerr Data

Thomas Bäckdahl·Juan A. Valiente Kroon
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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.

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Thomas Bäckdahl, Juan A. Valiente Kroon. 2010-06-14. Geometric Invariant Measuring the Deviation from Kerr Data. https://doi.org/10.1103/physrevlett.104.231102

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