Thermodynamics and phase transitions of non-linear charged black hole in AdS spacetime

Abstract

We have derived a non-linear charged black hole solution, in the AdS spacetime, which behaves asymptotically like the RN-AdS black hole but at the short distances like a dS geometry. Thus, the black hole is regular. The thermodynamic quantities of the black hole are derived. Also, we analyzed in details the phase transitions of the black hole by observing the discontinuity of the heat capacity at constant pressure and the cusp type double points in the Gibbs free energy-temperature graph. Furthermore, the thermodynamic phases and their stability are investigated relying on the off-sell Gibbs free energy. Finally, we calculated the critical exponents characterizing the behavior of the relevant thermodynamic quantities near the critical point.

Thermodynamic criticality of d-dimensional charged AdS black holes surrounded by quintessence with a cloud of strings background

“…To summarize the critical exponents derived in this work are exactly the same as those obtained in many papers, such as: Mann et al paper dealing with charged AdS black holes in 4d and d spacetime dimensions [18,27]; non-linear charged black hole considered in [32]; RN-AdS BH surrounded by quintessence [31], and also [12] with cloud of strings.…”

Entropy and Topology of Regular Black Holes

“…is widely used for investigating the thermodynamics in regular black holes (RHBs), e.g. [3][4][5][6][7][8][9]. This method is based on the first law of thermodynamics and the direct correspondence between internal energy and BH mass, U = M .…”

Circular orbit of a test particle and phase transition of a black hole

“…Though there are different phase transitions for black holes, such as Hawking-Page phase transiton [3,26], Reentrant phase transition [27,28], we here only discuss the van der Waals (vdW)-like phase transition [9]. In most cases, there are vdW-like phase transitions for AdS black holes with hairs such as the electric charge [29][30][31][32][33][34][35][36][37][38][39][40][41]. The critical point of the vdW-like phase transition for the black hole can be obtained by the equation…”