  We will analyze a black string in dRGT massive theory of gravity. Considering
different approaches, we will study the critical behavior, phase transition and
thermal stability for such a black string solution. We will also analyze the
Van der Waals behavior for this system, and observe that the Van der Waals
behavior depends on the graviton mass. It will be observed that the thermal
fluctuations can modify the behavior of this system. We will explicitly analyze
the effect of such fluctuations on the stability of this black string solution.
This will be done using the Hessian matrix for this system.
