Classical resolution of black hole singularities in arbitrary dimension

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.

14 pages, 2 figures, to appear in PRD

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Cited by in corpus (13)

• Born-Infeld inspired modifications of gravity
• Wormholes and nonsingular space-times in Palatini $f(R)$ gravity
• What is a singular black hole beyond General Relativity?
• Wormholes with nonexotic matter in Born-Infeld gravity
• Unveiling the Dynamics of the Universe
• Nonlinear $\sigma$-models in the Eddington-inspired Born-Infeld Gravity
• Inner Structure of Black Holes in Eddington-inspired Born-Infeld gravity: the role of mass inflation
• Mass inflation in Eddington-inspired Born-Infeld black holes: analytical scaling solutions
• Black hole solutions in functional extensions of Born-Infeld gravity
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Nonsingular black holes in Palatini extensions of General Relativity
• Multicenter solutions in Eddington-inspired Born-Infeld gravity
• Gravitational collapse in $(2+1)$-dimensional Eddington-inspired Born-Infeld gravity