6533b834fe1ef96bd129d425

RESEARCH PRODUCT

Black holes in five-dimensional Palatinif(R)gravity and implications for the AdS/CFT correspondence

Gonzalo J. OlmoGonzalo J. OlmoDiego Rubiera-garciaL. LosanoD. Bazeia

subject

PhysicsBlack holeGeneral Relativity and Quantum CosmologyNuclear and High Energy PhysicsAdS/CFT correspondenceGravity (chemistry)Metric (mathematics)A priori and a posteriorif(R) gravityContext (language use)Affine transformationMathematical physics

description

We show that theories having second-order field equations in the context of higher-dimensional modified gravity are not restricted to the family of Lovelock Lagrangians, but can also be obtained if no a priori assumption on the relation between the metric and affine structures of space-time is made (the Palatini approach). We illustrate this fact by considering the case of Palatini $f(R)$ gravities in five dimensions. Our results provide an alternative avenue to explore new domains of the AdS/CFT correspondence without resorting to ad hoc quasitopological constructions.

https://doi.org/10.1103/physrevd.90.044011