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arXiv · 1507.07763

Classical resolution of black hole singularities in arbitrary dimension

D. Bazeia·L. Losano·Gonzalo J. Olmo·D. Rubiera-Garcia·A. Sanchez-Puente
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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 \emph{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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D. Bazeia, L. Losano, Gonzalo J. Olmo, D. Rubiera-Garcia, A. Sanchez-Puente. 2015-07-28. Classical resolution of black hole singularities in arbitrary dimension. https://doi.org/10.1103/physrevd.92.044018

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