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

Abstract

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 (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 {\it ad hoc} quasi-topological constructions.

8 double column pages, 2 figures

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• Analytic Electrically Charged Black Holes in $F(R)$-ModMax Theory
• Topological phantom AdS black holes in $F(R)$ gravity
• Cosmological scenarios in modified gravity with non-dynamical fields
• Thermodynamics, Phase Transitions, and Geodesic Structure of F(R)-Phantom Banados-Teitelboim-Zanelli (BTZ) Black Holes