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Obstructions on the horizon geometry from string theory corrections to Einstein gravity

Gustavo Dotti·Reinaldo J. Gleiser
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Abstract

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.

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Gustavo Dotti, Reinaldo J. Gleiser. 2005-08-16. Obstructions on the horizon geometry from string theory corrections to Einstein gravity. https://doi.org/10.1016/j.physletb.2005.08.110

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