Universality in the stress tensor for Holographic fluids at the finite cutoff surface via fluid/gravity correspondence

TL;DR

This paper explores the universality of the first order stress tensor in holographic fluids at finite cutoff surfaces, using fluid/gravity correspondence and perturbations of Schwarzschild-AdS black branes without gauge fixing.

Contribution

It demonstrates the universality of the first order stress tensor for holographic fluids at finite cutoff surfaces through a comprehensive analysis of metric perturbations.

Findings

First order stress tensor can be expressed in a universal form.

Universality holds for various boundary conditions.

Analysis is based on perturbations of the full bulk metric.

Abstract

We investigate the stress tensor for holographic fluids at the finite cutoff surface through perturbing the Schwarzchild-AdS black brane background to the first order perturbations in the scenario of fluid/gravity correspondence. We investigate the most general perturbations of the metric without any gauge fixing. We consider various boundary conditions and demonstrate the properties of the corresponding holographic fluids. The critical fact is that the spatial components of the first order stress tensors of the holographic fluids can be rewritten in a concordant form, which implicates that there is an underlying universality in the first order stress tensor. We find this universality in the first order stress tensor for holographic fluids at the finite cutoff surface by an exhaustive investigation of perturbations of the full bulk metric.