On thermodynamics of charged AdS black holes in extended phases space via M2-branes background

Abstract

Motivated by a recent work on asymptotically AdS 4 black holes in M-theory, we investigate both thermodynamics and the thermodynamical geometry of ReissnerNordstrom-AdS black holes from M2-branes. More precisely, we study AdS black holes in Ad S 4 × S 7 , with the number of M2-branes interpreted as a thermodynamical variable. In this context, we calculate various thermodynamical quantities including the chemical potential, and examine their phase transitions along with the corresponding stability behaviors. In addition, we also evaluate the thermodynamical curvatures of the Weinhold, Ruppeiner, and Quevedo metrics for M2-branes geometry to study the stability of such a black object. We show that the singularities of these scalar curvature's metrics reproduce similar stability results to those obtained by the phase transition diagram via the heat capacities in different ensembles either when the number of the M2 branes or the charge is held fixed. Also, we note that all results derived in Belhaj et al. (Eur Phys J C 76(2):73, 2016) are recovered in the limit of the vanishing charge.

Behavior of quasinormal modes and high dimension RN–AdS black hole phase transition

“…A particular emphasis has been put on AdS black holes [28][29][30][31][32][33][34]. More precisely, a nice interplay between the behaviors of the RN-AdS black hole systems and the Van der Waals fluids has been discussed at length in [35][36][37][38][39][40][41][42][43].…”

Phase transition of AdS black hole in massive gravity revisited via new prescription

“…In this framework, the cosmological constant is regarded as thermodynamic pressure and the black hole mass is identified to the enthalpy. Within these peculiar developments, a beautiful and deep analogy between AdS black holes and van der Waals liquid-gas system has been revealed [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] opening a new window towards our understanding of strong gravity and black holes physics.…”

“…Hence, the massive gravities and graviton can help to shed light on the foreseen quantum behavior of gravity [33,34]. Nowadays many approaches have been raised to probe the black hole phase transitions, ranging from the thermodynamics technics via the localisation of discontinuities of the heat capacity [7][8][9][10], thermodynamics geometries by the singularities of their Ricci scalars [11,12], the AdS/CFT tools including entanglement entropy and two-point correlation function [13][14][15][16]35], to quasinormal modes [17][18][19] and chaos structure [31].…”

Phase transitions and geothermodynamics of black holes in dRGT massive gravity

“…In this respect, many attempts have been made to establish relationship between the thermodynamic phase transitions and quasinormal modes of black holes [21][22][23]. The phase transitions are usually signaled by the existence of discontinuities of a state space variable, via either the analysis of the heat capacity [16] or by using the geothermodynamics approaches [24][25][26] proposed by Ruppeiner [27], Quevedo [28], HPEM [29] or by Liu-Lu-Luo-Shao [26].…”