AdS Black Brane Solution Surrounded by Quintessence in Massive Gravity and KSS Bound

TL;DR

This paper presents a new AdS black brane solution in massive gravity with quintessence, demonstrating violation of the KSS bound on shear viscosity to entropy density ratio, independent of quintessence across dimensions.

Contribution

It introduces a novel Einstein AdS black brane solution with quintessence in massive gravity and shows its shear viscosity to entropy density ratio violates the KSS bound.

Findings

Violates KSS bound with this solution

Violation is independent of quintessence in any dimension

Results obtained using Dirichlet boundary and horizon regularity conditions

Abstract

In this paper, the Einstein AdS black brane solution in the presence of quintessence in context of massive gravity is introduced. The ratio of shear viscosity to entropy density for this solution violates the KSS bound by applying the Dirichlet boundary and regularity on the horizon conditions. Our result shows that this value is independent of quintessence in arbitrary dimensions.