6533b828fe1ef96bd1288506

RESEARCH PRODUCT

Classical resolution of black hole singularities in arbitrary dimension

Gonzalo J. OlmoGonzalo J. OlmoD. BazeiaAntonio Sanchez-puenteDiego Rubiera-garciaL. Losano

subject

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsWhite holeFOS: Physical sciencesBlack holeGravitationAdS/CFT correspondenceTheoretical physicsGeneral Relativity and Quantum CosmologyClassical mechanicsRotating black holeHigh Energy Physics - Theory (hep-th)Extremal black holeGravitational singularityRicci curvature

description

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.

https://dx.doi.org/10.48550/arxiv.1507.07763