  A family of deformed AdS$_5$-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 with
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.
