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Bazeia, D., Losano, L., Olmo, G. J., Rubiera-Garcia, D., & Sanchez-Puente, A. (2015). Classical resolution of black hole singularities in arbitrary dimension. Phys. Rev. D, 92(4), 044018–15pp.
Abstract: A metric-affine approach is employed to study higher-dimensional modified gravity theories involving different powers and contractions of the Ricci tensor. It is shown that the field equations are always second-order, as opposed to the standard metric approach, where this is only achieved for Lagrangians of the Lovelock type. We point out that this property might have relevant implications for the AdS/CFT correspondence in black hole scenarios. We illustrate these aspects by considering the case of Born-Infeld gravity in d dimensions, where we work out exact solutions for electrovacuum configurations. Our results put forward that black hole singularities in arbitrary dimensions can be cured in a purely classical geometric scenario governed by second-order field equations.
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