Hydrodynamics in black brane with hyperscaling violation metric background

Abstract

In this paper we consider a metric with hyperscaling violation on black brane background. In this background we calculate the ratio of shear viscosity to entropy density with hydrodynamics information. The calculation of this quantity lead us to constraint $\theta$ as $3\le \theta <4$, and $\theta \le 0$. In that case we show that the quantity of $\frac{\eta }{s}$ not dependent to hyperscaling violation parameter $\theta .$ Our results about ratio of shear viscosity to entropy density in direct of $QCD$ point of view agree with other works in literature as $1/4\pi$.

References in corpus (27)

• Gauge Theory Correlators from Non-Critical String Theory
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Nonlinear Fluid Dynamics from Gravity
• Gravity Duals of Lifshitz-like Fixed Points
• From AdS/CFT correspondence to hydrodynamics
• Hard Scattering and Gauge/String Duality
• Holography and hydrodynamics: diffusion on stretched horizons
• Viscosity, Black Holes, and Quantum Field Theory
• Effective Holographic Theories for low-temperature condensed matter systems
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• From AdS/CFT correspondence to hydrodynamics. II. Sound waves
• Non-relativistic holography
• Aspects of holography for theories with hyperscaling violation
• Peculiar properties of a charged dilatonic black hole in AdS_5
• Entropy Current in Conformal Hydrodynamics
• The Shear Viscosity to Entropy Ratio: A Status Report
• On Lifshitz scaling and hyperscaling violation in string theory
• STU/QCD Correspondence
• Quantum Fluctuations in Holographic Theories with Hyperscaling Violation
• Higher Derivative Corrections to Shear Viscosity from Graviton's Effective Coupling
• Thermodynamics of Schrödinger black holes with hyperscaling violation
• Aspects of Current Correlators in Holographic Theories with Hyperscaling Violation
• Thermodynamics of string black hole with hyperscaling violation
• The effect of higher derivative correction on $\eta /s$ and conductivities in STU model
• Holographic hydrodynamics: models and methods
• Hydrodynamics and transport coefficients in an infrared-deformed soft-wall AdS/QCD model at finite temperature

Cited by in corpus (7)

• Greybody Factors of Holographic Superconductors with $z=2$ Lifshitz Scaling
• Transport coefficients from hyperscaling violating black brane: shear viscosity and conductivity
• Hyperscaling violation and the shear diffusion constant
• The investigation of quark - antiquark potential in plasma with hyperscaling violation background
• Hyperscaling violation, quasinormal modes and shear diffusion
• Notes on hyperscaling violating Lifshitz and shear diffusion
• Flow of shear response functions in hyperscaling violating Lifshitz theories