Obstructions on the horizon geometry from string theory corrections to

G.DOTTI Y R.J.GLEISER

PHYSICS LETTERS B

ELSEVIER SCIENCE BV

Año: 2005 vol. 627 p. 174 - 179

0370-2693

Higher dimensional Einstein gravity in vacuum admits static black hole solutions with an Einstein manifold of non constant 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 paper, 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 non constant curvature.