Higher-dimensional Einstein gravity in vacuum admits static black hole solutions with an Einstein manifold of nonconstant curvature as a horizon. This gives a much richer family of static black holes than in four-dimensional GR. However, as we show in this Letter, the Gauss-Bonnet string theory correction to Einstein gravity poses severe limitations on the geometry of a horizon Einstein manifold. The additional stringy constraints rule out most of the known examples of exotic black holes with a horizon of nonconstant curvature. (c) 2005 Elsevier B.V. All rights reserved.
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