Holographic Turbulence in Einstein-Gauss-Bonnet Gravity at Large $D$

Understand

We study the holographic hydrodynamics in the Einstein-Gauss-Bonnet(EGB) gravity in the framework of the large $D$ expansion.

• We find that the large $D$ EGB equations can be interpreted as the hydrodynamic equations describing the conformal fluid.
• These fluid equations are truncated at the second order of the derivative expansion, similar to the Einstein gravity at large $D$.
• From the analysis of the fluid flows, we find that the fluid equations can be taken as a variant of the compressible version of the non-relativistic Navier-Stokes equations.