Quartic Quasi-topological Gravity, Black Holes and Holography

Abstract

In this paper, we derive the field equations of quartic quasi-topological gravity by varying the action with respect to the metric. Also, we obtain the linearized graviton equations in the AdS background and find that it is governed by a second-order field equation as in the cases of Einstein, Lovelock or cubic quasi-topological gravities. But in contrast to the cubic quasi-topological gravity, the linearized field equation around a black hole has fourth-order radial derivative of the perturbation. Moreover, we analyze the conditions of having ghost free AdS solutions and AdS planar black holes. In addition, we compute the central charges of the dual conformal field theory of this gravity theory by studying holographic Weyl anomaly. Finally, we consider the effect of quartic term on the causality of dual theory in the tensor channel and show that, in the contrast to the trivial result of cubic quasi-topological gravity, the existence of both cubic and quartic terms leads to a non-trivial constraint. However, this constraint does not imply any lower positive bound on the viscosity/entropy ratio.

27 pages, 14 figures, minor typos corrected, a comment on bulk causality is added, updated to published version

References in corpus (16)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Conformal collider physics: Energy and charge correlations
• Holographic c-theorems in arbitrary dimensions
• Viscosity Bound and Causality Violation
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• A field-theory motivated approach to symbolic computer algebra
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• Universal holographic hydrodynamics at finite coupling
• Lovelock theories, holography and the fate of the viscosity bound
• Holographic Superconductors in Quasi-topological Gravity
• Energy Flux Positivity and Unitarity in CFTs
• Supersymmetric Completion of Gauss-Bonnet Combination in Five Dimensions
• Nonlinear Charged Black Holes in Anti-de Sitter Quasi-Topological Gravity
• Thermodynamics of Quasi-Topological Cosmology

Cited by in corpus (20)

• Generalized quasi-topological gravity
• (Generalized) quasi-topological gravities at all orders
• Quintic quasi-topological gravity
• Quintessential Quartic Quasi-topological Quartet
• Holographic studies of Einsteinian cubic gravity
• Hairy black holes in cubic quasi-topological gravity
• Black holes in five-dimensional Palatini $f(R)$ gravity and implications for the AdS/CFT correspondence
• Black hole chemistry and holography in generalized quasi-topological gravity
• Causality and a-theorem Constraints on Ricci Polynomial and Riemann Cubic Gravities
• Quasi-Topological Ricci Polynomial Gravities
• Classical resolution of black hole singularities in arbitrary dimension
• Partition functions on slightly squashed spheres and flux parameters
• Black holes in quasi-topological gravity and conformal couplings
• Horizon Thermodynamics and Gravitational Field Equations in Quasi-Topological Gravity
• Higher-derivative holography with a chemical potential
• Holographic Studies of The Generic Massless Cubic Gravities
• Simple recipe for holographic Weyl anomaly
• New solutions of exotic charged black holes and their stability
• Transverse Shear Viscosity to Entropy Density for the General Anisotropic Black Brane in Horava-Lifshitz Gravity
• Misner-Sharp Energy and P-V Criticality in Quasi-Topological Cosmology