The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity

TL;DR

This paper explores the hydrodynamics of a dual conformal field theory using AdS/CFT correspondence in Gauss-Bonnet gravity, calculating the stress-energy tensor, shear viscosity, and entropy density.

Contribution

It provides a first-order hydrodynamic analysis in Gauss-Bonnet gravity and derives key physical quantities consistent with previous effective coupling results.

Findings

Calculated the first order stress-energy tensor of the dual conformal field.

Derived shear viscosity and entropy density in Gauss-Bonnet gravity.

Results align with previous effective coupling studies.

Abstract

In the spirit of the AdS/CFT correspondence, we investigate the hydrodynamics of the dual conformal field in the Gauss-Bonnet gravity. By considering the parameters of the boosted black brane in the Gauss-Bonnet gravity as functions of boundary coordinates, and then solving the corresponding correction terms, we calculate the first order stress-energy tensor of the dual conformal field. From this first order stress-energy tensor, we also obtain the shear viscosity and entropy density. And these results are consistent with those of some previous works from the effective coupling of gravitons.