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

A bstract 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-...

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Bibliographic Details
Published in:The journal of high energy physics 2014-04, Vol.2014 (4), p.1-40, Article 136
Main Authors: Mukhopadhyay, Ayan, Petkou, Anastasios C., Petropoulos, P. Marios, Pozzoli, Valentina, Siampos, Konstadinos
Format: Article
Language:English
Subjects:
Boundaries
Classical and Quantum Gravitation
Cotton
Elementary Particles
Fluid dynamics
Fluid flow
Fluids
High energy physics
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Tensors
Vorticity
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Summary:A bstract 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. The corresponding bulk can be exactly reconstructed to obtain 3 + 1-dimensional stationary black-hole solutions with no naked singularities for appropriate values of the black-hole mass. It follows that an infinite number of transport coefficients vanish for holographic fluids. Our results imply an intimate relationship between black-hole uniqueness and holographic perfect equilibrium. They also point towards a Cotton/energy-momentum tensor duality constraining the fluid vorticity, as an intriguing boundary manifestation of the bulk mass/nut duality.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2014)136