AdS5–Schwarzschild deformed black branes and hydrodynamic transport coefficients

Abstract

A family of deformed AdS5–Schwarzschild black branes is here derived, employing the membrane paradigm of AdS/CFT. The solution of the Einstein–Hilbert action, with the Gibbons–Hawking term and a counter-term that eliminates eventual divergences, yields a partition function associated to the dual theory which allows the computation of the entropy, pressure and free energy, as state functions, in the canonical ensemble. AdS/CFT near-horizon methods are then implemented to compute the shear viscosity-to-entropy ratio, then restricting the range of the parameter that defines a family of deformed black branes.