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arxiv: 1501.03510 · v4 · submitted 2015-01-14 · 🌀 gr-qc · hep-th

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Local Invariants Vanishing on Stationary Horizons: A Diagnostic for Locating Black Holes

Don N. Page , Andrey A. Shoom
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classification 🌀 gr-qc hep-th
keywords invariantslocalblackcurvaturepolynomialscalarstationaryabdelqader
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Inspired by the example of Abdelqader and Lake for the Kerr metric, we construct local scalar polynomial curvature invariants that vanish on the horizon of any stationary black hole: the squared norms of the wedge products of n linearly independent gradients of scalar polynomial curvature invariants, where n is the local cohomogeneity of the spacetime.

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