Holographic perfect fluidity, Cotton energy-momentum duality and transport properties

Understand

We investigate background metrics for 2+1-dimensional holographic theories where the equilibrium solution behaves as a perfect fluid, and admits thus a thermodynamic description.

• We introduce stationary perfect-Cotton geometries, where the Cotton--York tensor takes the form of the energy--momentum tensor of a perfect fluid, i.e.
• they are of Petrov type D_t.
• Fluids in equilibrium in such boundary geometries have non-trivial vorticity.