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

Abstract

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.

arXiv comment5 pages, LaTeX, additional material added, retitled at the suggestion of the Physical Review Letters editor when accepting the paper

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