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arXiv · 0809.2020

Black holes and non-relativistic quantum systems

Pavel Kovtun·Dominik Nickel
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Abstract

We describe black holes in d+3 dimensions, whose thermodynamic properties correspond to those of a scale invariant non-relativistic d+1 dimensional quantum system with dynamical exponent z=2. The gravitational model involves a massive abelian vector field and a scalar field, in addition to the metric. The energy per particle in the dual theory is $|μ| d/(d+2)$, exactly as in a non-interacting Fermi gas, while the ratio of shear viscosity to entropy density is $\hbar/4π$.

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Pavel Kovtun, Dominik Nickel. 2008-09-22. Black holes and non-relativistic quantum systems. https://doi.org/10.1103/physrevlett.102.011602

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