Holographic Vorticity in the Fluid/Gravity Correspondence
Christopher Eling, Yaron Oz
TL;DR
This paper develops a holographic framework to analyze vorticity in fluid flows via the fluid/gravity correspondence, linking horizon geometry to turbulence characteristics in relativistic and non-relativistic fluids.
Contribution
It introduces a method to construct holographic vorticity from black brane data, connecting horizon vorticity to fluid turbulence in a novel holographic setting.
Findings
Horizon vorticity relates to fluid vorticity through Weyl scalars.
The statistical scaling of horizon geometry reflects turbulence cascades.
Holographic vorticity captures features of relativistic and non-relativistic turbulence.
Abstract
The vorticity statistics characterises both the direct and the inverse turbulent cascades of two-dimensional fluid flows. The fluid/gravity correspondence relates fluid flows to black brane dynamics. We construct the holographic vorticity for relativistic and non-relativistic fluids in terms of the gravitational black brane data, and relate it to the horizon vorticity expressed as a Weyl scalar. We discuss the statistical scaling structure of the horizon geometry.
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