Phase transition of charged black holes in massive gravity through new methods

Understand

Motivated by providing preliminary steps to understand the conception of quantum gravity, in this paper, we study the phase structure of a semiclassical gravitational system.

• We investigate the stability conditions and phase transition of charged black holes in massive gravity via canonical and geometrical thermodynamic approaches.
• We point out the effects of massive parameter on stability conditions of these black holes and show how massive coefficients affect the phase transition points of these black holes.
• We also study the effects of boundary topology on thermodynamical behavior of the system.