Entropy Bound and Causality Violation in Higher Curvature Gravity

Abstract

In any quantum theory of gravity we do expect corrections to Einstein gravity to occur. Yet, at fundamental level, it is not apparent what the most relevant corrections are. We argue that the generic curvature square corrections present in lower dimensional actions of various compactified string theories provide a natural passage between the classical and quantum realms of gravity. The Gauss-Bonnet and $(\mathrm{Riemann}{)}^2$ gravities, in particular, provide concrete examples in which inconsistency of a theory, such as, a violation of microcausality, and a classical limit on black hole entropy are correlated. In such theories the ratio of the shear viscosity to the entropy density, $\eta /s$, can be smaller than for a boundary conformal field theory with Einstein gravity dual. This result is interesting from the viewpoint that the nuclear matter or quark-gluon plasma produced (such as at RHIC) under extreme densities and temperatures may violate the conjectured bound $\eta /s\ge 1/4\pi$, {\it albeit} marginally so.

23 pages, several eps figures; minor changes, references added, published version

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Cited by in corpus (19)

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• Lovelock black holes with a nonlinear Maxwell field
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Causality in AdS/CFT and Lovelock theory
• On Charged Lifshitz Black Holes
• Shear viscosity and instability from third order Lovelock gravity
• Gauss-Bonnet black holes with non-constant curvature horizons
• Black Brane Solution in Rastall AdS Massive Gravity and Viscosity Bound
• R^2 Corrections to Asymptotically Lifshitz Spacetimes
• Einstein-Yang-Mills AdS Black Brane Solution in Massive Gravity and Viscosity Bound
• Viscosity bound for anisotropic superfluids in higher derivative gravity
• Transport coefficients from hyperscaling violating black brane: shear viscosity and conductivity
• Black Holes, Entropy Bound and Causality Violation
• Holographic Consistency and the Sign of the Gauss-Bonnet Parameter
• AdS Black Brane Solution Surrounded by Quintessence in Massive Gravity and KSS Bound
• Holographic RG flows and transport coefficients in Einstein-Gauss-Bonnet-Maxwell theory
• Transverse Shear Viscosity to Entropy Density for the General Anisotropic Black Brane in Horava-Lifshitz Gravity
• The Effect of Bulk Dimension in the presence of String Cloud on Viscosity Bound
• Hysteresis in $\eta /s$ for QFTs dual to spherical black holes