TL;DR
This paper investigates a modified AdS black brane with an arcsin-based Lagrangian, using perturbative methods to analyze its properties and find that it does not saturate the KSS viscosity bound.
Contribution
It introduces a novel arcsin-based black brane model in AdS spacetime and analyzes its hydrodynamic properties using second-order perturbation techniques.
Findings
The KSS bound is not saturated in this model.
Perturbative solutions were obtained up to second order in q.
The shear viscosity to entropy density ratio was computed.
Abstract
In this paper, we explore a modified black brane within AdS spacetime, characterized by the Lagrangian density . 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 . Subsequently, we compute the ratio of shear viscosity to entropy density. Our results suggest that the KSS Bound is not saturated in this model.
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