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 (9)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Nonlinear Fluid Dynamics from Gravity
• 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
• Non-relativistic holography
• Entropy Current in Conformal Hydrodynamics
• Quantum Fluctuations in Holographic Theories with Hyperscaling Violation
• Higher Derivative Corrections to Shear Viscosity from Graviton's Effective Coupling

Cited by in corpus (1)

• Hyperscaling violation, quasinormal modes and shear diffusion