Transverse Shear Viscosity to Entropy Density for the General Anisotropic Black Brane in Horava-Lifshitz Gravity

TL;DR

This paper computes the transverse shear viscosity to entropy density ratio for anisotropic black branes in Horava-Lifshitz gravity, confirming the KSS bound holds in this anisotropic model.

Contribution

It provides the first calculation of shear viscosity to entropy density ratio for anisotropic black branes in Horava-Lifshitz gravity, demonstrating the KSS bound's validity.

Findings

The ratio is proportional to the inverse square of the coupling constant.

The KSS bound of 1/4π is preserved in the anisotropic model.

Shear viscosity approaches the bound as coupling strength increases.

Abstract

In this paper we calculate the ratio of transverse shear viscosity to entropy density for the general anisotropic black brane in Horava-Lifshitz gravity. There is a well-known conjecture that states this ratio should be larger than $\frac{1}{4\pi}$. The ratio of shear viscosity to entropy density is proportional to the inverse square coupling of quantum thermal field theory,$\frac{\eta }{s} \sim \frac{1}{\lambda^2 }$. Especially in QFT with gravity dual the stronger coupling means the shear viscosity per entropy density gets closer to the lower bound of $\frac{1}{4\pi}$. The KSS bound preserves in the anisotropic scaling model.

Full text

Transverse Shear Viscosity to Entropy Density for the General Anisotropic Black Brane in Horava-Lifshitz Gravity

Mehdi Sadeghi   

*Department of Physics, School of Sciences,

Ayatollah Boroujerdi University, Boroujerd, Iran

mehdi.sadeghi@abru.ac.ir