Holographic Vorticity in the Fluid/Gravity Correspondence
arXiv:1308.1651 · doi:10.1007/JHEP11(2013)079
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.
13 pages, v2: fixed typos, minor improvements
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- On the fractal dimension of turbulent black holes
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