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

2014/05/01 by D. Bazeia, L. Losano, Gonzalo J. Olmo +2 · 1 citation
Mathematics · Physics and Astronomy · #A priori and a posteriori #Affine transformation #Algorithm #Black Holes and Theoretical Physics #Context (archaeology) #Cosmology and Gravitation Theories #Field (mathematics) #Geology #Geometry #Mathematics #Metric (unit) #Noncommutative and Quantum Gravity Theories #Philosophy #Pure mathematics #hep-th

paper · pdf · doi:10.1103/physrevd.90.044011

published as Phys. Rev. D 90, 044011 (2014) · 8 double column pages, 2 figures

arxiv created 2014/05/01 · openalex publication_date 2014/08/07 · arxiv updated 2014/08/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 (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.

Citations

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Hoffmann–Infeld black-hole solutions in Lovelock gravity
• Quantum Fields in Curved Space
• The Gravity Lagrangian According to Solar System Experiments
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Higher Order Gravity Theories and Their Black Hole Solutions
• The Large-N Limit of Superconformal Field Theories and Supergravity
• Geons
• The large N limit of superconformal field theories and supergravity

Cited by

• Modified gravity in three dimensional metric-affine scenarios