2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220892We 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 $\hbar/4π$.8 pages; v2: discussion modifiedHigh Energy Physics - TheoryBlack holes and non-relativistic quantum systemstext