On the universality of thermodynamics and $\eta /s$ ratio for the charged Lovelock black branes

Abstract

We investigate general features of charged Lovelock black branes by giving a detailed description of geometrical, thermodynamic and holographic properties of charged Gauss-Bonnet (GB) black branes in five dimensions. We show that when expressed in terms of effective physical parameters, the thermodynamic behaviour of charged GB black branes is completely indistinguishable from that of charged Einstein black branes. Moreover, the extremal, near-horizon limit of the two classes of branes is exactly the same as they allow for the same AdS${}_2\times R_3$, near-horizon, exact solution. This implies that, although in the UV the associated dual QFTs are different, they flow in the IR to the same fixed point. The calculation of the shear viscosity to entropy ratio $\eta /s$ confirms these results. Despite the GB dual plasma has in general a non-universal temperature-dependent $\eta /s$, it flows monotonically to the universal value $1/4\pi$ in the IR. For negative (positive) GB coupling constant, $\eta /s$ is an increasing (decreasing) function of the temperature and the flow respects (violates) the KSS bound.

28 pages, 3 figures, some references added

References in corpus (17)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Viscosity Bound and Causality Violation
• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Beyond eta/s = 1/4pi
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• Isolated critical point from Lovelock gravity
• The shear viscosity of gauge theory plasma with chemical potentials
• Entropy production, viscosity bounds and bumpy black holes
• Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma
• Conductivity of a strange metal: from holography to memory functions
• A Strongly Coupled Anisotropic Fluid From Dilaton Driven Holography
• Holographic Signatures of Cosmological Singularities
• The shear viscosity of the non-commutative plasma
• Moduli and electromagnetic black brane holography

Cited by in corpus (6)

• Rotating Gauss-Bonnet BTZ Black Holes
• Criticality for charged black branes
• Thermodynamics of Regular Black Holes in Anti-de Sitter Space
• Singularity resolution and inflation from an infinite tower of regularized curvature corrections
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Hysteresis in $\eta /s$ for QFTs dual to spherical black holes