Holographic properties of phase transition behavior in AdS spacetime of massive gravity

In this work, we intend to investigate the phase transition behavior in AdS spacetime of massive gravity. We found that it can exhibit different phase transitions in the T−S plane. We further study specific heat capacity and free energy of the spacetime, and Cq−S and F−T phase structures with different parameters are also plotted. The results show that the phase structures are related to the charge Q, the parameters γ and λ of the AdS spacetime of massive gravity. In addition, by utilizing two point correlation function, holographic phase transitions can also be displayed in the T−δL plane, which means phase transition behavior can be detected by the two point correlation function. Keywords: Van der Waals phase transition, Massive gravity, Specific heat capacity, Free energy, Two point correlation function