Local Invariants Vanishing on Stationary Horizons: A Diagnostic for Locating Black Holes
arXiv:1501.03510 · doi:10.1103/PhysRevLett.114.141102
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.
5 pages, LaTeX, additional material added, retitled at the suggestion of the Physical Review Letters editor when accepting the paper