Einstein-Yang-Mills AdS Black Brane Solution in Massive Gravity and Viscosity Bound

TL;DR

This paper presents a new Einstein-Yang-Mills AdS black brane solution in massive gravity and investigates its shear viscosity to entropy density ratio, which violates the KSS bound under certain boundary conditions.

Contribution

It introduces a novel Einstein-Yang-Mills AdS black brane solution in massive gravity and analyzes its viscosity bound violation.

Findings

Shear viscosity to entropy density ratio calculated for the new solution.

The ratio violates the KSS bound under Dirichlet boundary and horizon regularity conditions.

Provides insights into viscosity bounds in modified gravity theories.

Abstract

We introduce the Einstein-Yang-Mills AdS black brane solution in context of massive gravity. The ratio of shear viscosity to entropy density is calculated for this solution. This value violates the KSS bound if we apply the Dirichlet boundary and regularity on the horizon conditions.