Effects of a global monopole on the thermodynamic phase transition of a charged AdS black hole*

Abstract

We study the dynamical properties of thermodynamic phase transition (PT) of the charged AdS black hole (BH) with global monopole via the Gibbs free energy landscape and reveal the effects of the global monopole on the kinetics of thermodynamic PTs. First, we briefly review the thermodynamics of the charged AdS BH with global monopole. Then, we introduce the Gibbs free energy landscape to investigate the thermodynamic stability of BH states. Because of thermal fluctuations, the small black hole (SBH) state can transit to the large black hole (LBH) state, and vice versa. Moreover, we use the Fokker-Planck equation with the reflecting boundary condition to study the probability evolution of the BH state with and without a global monopole separately. We find that for both the SBH and LBH states, the global monopole could slow down the evolution of the BH state. In addition, we obtain the relationship between the first passage time and the monopole parameter $\eta$. The result shows that as the monopole parameter $\eta$ increases, the mean first passage time will be longer for both the SBH and LBH states.

Revisiting the second law and weak cosmic censorship conjecture in high-dimensional charged-AdS black hole: an additional assumption

“…A lot of investigations regarding the enthalpy formalism have been proposed in the recent past in order to sufficiently probe the quantum gravitational nature of the AdS black holes [6][7][8][9][10][11][12][13][14]. Such studies have been emphasized and limited to the first law and dimensional verification of the Smarr-Gibbs-Duhem relation.…”