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.

arXiv comment8 double column pages, 2 figures

References in corpus (41)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Eddington's theory of gravity and its progeny
• The gravity lagrangian according to solar system experiments
• Born-Infeld-Einstein Actions?
• Black Hole Scan
• Black Holes in Quasi-topological Gravity
• Dimensionally Continued Black Holes
• Holographic studies of quasi-topological gravity
• The Lovelock Black Holes
• Lovelock black holes with a nonlinear Maxwell field
• The Universality of Einstein Equations
• Exact Solutions of Lovelock-Born-Infeld Black Holes
• Geonic black holes and remnants in Eddington-inspired Born-Infeld gravity
• Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics
• Higher order gravity theories and their black hole solutions
• Black Holes in (Quartic) Quasitopological Gravity
• Lovelock Gravity at the Crossroads of Palatini and Metric Formulations
• Topological Black Holes in Lovelock-Born-Infeld Gravity
• Reissner-Nordström black holes in extended Palatini theories
• Palatini versus metric formulation in higher curvature gravity
• Universality of Einstein Equations for the Ricci Squared Lagrangians
• Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source
• Hamiltonian Formulation of Palatini f(R) theories a la Brans-Dicke
• Dynamical Aspects of Generalized Palatini Theories of Gravity
• The Cauchy problem for metric-affine f(R)-gravity in presence of a Klein-Gordon scalar field
• Nonsingular black holes in quadratic Palatini gravity
• Importance of torsion and invariant volumes in Palatini theories of gravity
• Semiclassical geons as solitonic black hole remnants
• Nonsingular charged black holes à la Palatini
• Quasi-topological Reissner-Nordström Black Holes
• Semiclassical geons at particle accelerators
• Hoffmann-Infeld Black Hole Solutions in Lovelock Gravity
• Quartic Quasi-topological Gravity, Black Holes and Holography
• Planck scale physics and topology change through an exactly solvable model
• Nonsingular electrovacuum solutions with dynamically generated cosmological constant

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• Cosmological reconstructed solutions in extended teleparallel gravity theories with a teleparallel Gauss-Bonnet term
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• Geometrical thermodynamics and P-V criticality of charged accelerating AdS black holes
• Classical resolution of black hole singularities in arbitrary dimension
• Black hole solutions in functional extensions of Born-Infeld gravity
• Thermodynamic properties of Quantum-Corrected AdS Black Hole with Phantom Global Monopoles
• Analytic Electrically Charged Black Holes in $F(R)$-ModMax Theory
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• Topological phantom AdS black holes in $F(R)$ gravity
• The Palatini star: exact solutions of the modified Lane-Emden equation
• Palatini $f(\mathcal{R},{\mathcal{L}}_m,{\mathcal{R}}_{\mu \nu }{T}^{\mu \nu })$ gravity and its Born-Infeld semblance
• Cosmological scenarios in modified gravity with non-dynamical fields
• Non-Riemannian geometry: towards new avenues for the physics of modified gravity
• Modified gravity in three dimensional metric-affine scenarios
• Thermodynamics, Phase Transitions, and Geodesic Structure of F(R)-Phantom Banados-Teitelboim-Zanelli (BTZ) Black Holes