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 ensemble and geometrical thermodynamic approaches. We point out the effcts of massive parameter on stability conditions of these black holes and show how massive coeffients affct the phase transition points of these black holes. We also study the effcts of boundary topology on thermodynamical behavior of the system. In addition, we give some arguments regarding the role of higher dimensions and highlight the effct of the electric charge in thermodynamical behavior. Then, we extend our study to geometrical thermodynamic approach and show that it can be a successful method for studying the black hole phase transition. At last, by employing the relation between thermodynamical pressure and cosmological constant, critical behavior of the system and the effcts of diffrent parameters on critical values are investigated
کلید واژگان :Phase transtion, Massive gravity, Black holes
ارزش ریالی : 600000 ریال
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