Speaker
Description
The de Rham-Gabadadze-Tolley (dRGT) black string solution is a cylindrically symmetric and static solution of the Einstein field equation with graviton mass. By investigating the thermodynamic properties of the dRGT black string, we found that the structure of graviton mass can provide the Hawking-Page phase transition. Since the dRGT black string entropy is a non-extensive quantity, we examine the non-extensive nature of the black string by using Renyi entropy. We found that the structure of the phase transition is significantly modified. In particular, there exists the swallow tail behavior of the Gibb free energy. This implies that there is the additional first order phase transition at which the temperature is higher than the usual one. As a result, the non-extensive nature of the black string provides a new phase of the black string which is both locally and globally stable.
