Thermodynamics of Dyadosphere of Reissner Nordstrom, f(R) Global Monopole and Janis Newman-Winicour Black Holes

Abstract

In this thesis, we study the effects of thermal fluctuations on Dyadosphere of Reissner-Nordstr¨om, Janis-Newman-Winicour and the fragmentation of f(R) global monopole black holes. In the presence of these fluctuations, we obtain various thermodynamic quantities like entropy, pressure, specific heat, Gibb’s free energy and Helmholtz free energy. We discuss the stability of these black holes using the γ (the ratio of heat capacities). We also discuss the phase transition, grand canonical ensemble and canonical ensemble. It is demonstrated that in Dyadoshpere of Reissner-Nordstr¨om, Janis-Newman Winicour and fragmentation of f(R) global monopole black holes become locally and globally stable with respect to increasing value of horizon radius.