  In this paper, we analyze the effects of thermal fluctuations on a STU black
hole. We observe that these thermal fluctuations can affect the stability of a
STU black hole. We will also analyze the effects of these thermal fluctuations
on the thermodynamic of STU black hole. Furthermore, in the Jacobson formalism
such a modification will produce a deformation of the geometry of the STU black
hole. Hence, we use the AdS/CFT correspondence to analyze the effect of such a
deformation on the dual quark-gluon plasma. So, we explicitly analyze the
effect of thermal fluctuations on the shear viscosity to entropy ratio in the
quark-gluon plasma, and analyze the effects of thermal fluctuations on this
ratio.
