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arXiv · 1501.03510

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

Don N. Page·Andrey A. Shoom
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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.

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Don N. Page, Andrey A. Shoom. 2015-03-19. Local Invariants Vanishing on Stationary Horizons: A Diagnostic for Locating Black Holes. https://doi.org/10.1103/physrevlett.114.141102

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