Hydrodynamics of Arcsin AdS Black Brane

Abstract

In this paper, we explore a modified black brane within AdS spacetime, characterized by the Lagrangian density $\frac{1}{q}\text{arcsin}(qR)-2\Lambda$. Due to the absence of an analytic solution, we approach the Einstein equations using a perturbative method, extending our analysis to the second order in $q$. Subsequently, we compute the ratio of shear viscosity to entropy density. Our results suggest that the KSS Bound is not saturated in this model.

10 Pages, no figure, accepted for publication in Int. J. Mod. Phys. A (IJMPA)