Holographical Aspects of Dyonic Black Holes: Massive Gravity Generalization

Abstract

The content of this paper includes studying holographical and thermodynamical aspects of dyonic black holes in the presence of massive gravity. For the first part of paper, thermodynamical properties of the bulk which includes black holes are studied and the main focus is on critical behavior. It will be shown that the existence of massive gravitons introduces remnant for temperature after evaporation of black holes, van der Waals phase transition for non-spherical black holes and etc. The consistency of different thermodynamical approaches toward critical behavior of the black holes is presented and the physical properties near the region of thermal instability are given. Next part of the paper studies holographical aspects of the boundary theory. Magnetization and susceptibility of the boundary are extracted and the conditions for having diamagnetic and paramagnetic behaviors are investigated. It will be shown that generalization to massive gravity results into the existence of diamagnetic/paramagnetic phases in phase structure of the hyperbolic and horizon flat of boundary conformal field theory.

Geometrical thermodynamics and P–V criticality of the black holes with power-law Maxwell field

“…Meanwhile, the existence of M Q Q results in the presence of divergencies for the Ricci scalar, which are not consistent with any phase transition point. Recently, by several studies it was shown that it is possible for the mass of the black holes to have root(s) [106,107]. This indicates that, for this form of the Quevedo metric, the existence of M and its roots may provide the possibility of the existence of divergencies in its Ricci scalar which are not matched with any phase transition point.…”

Black string in dRGT massive gravity

“…Moreover, the bi-gravity extension of the solution was found in [13] which covers the previously known spherically symmetric solutions (see [14][15][16] for reviews on black holes in massive gravity). Recently, other extensions of the dRGT massive gravity solution were explored [27][28][29][30][31][32][33][34][35][36].…”

Dyonic black holes in framework of Born–Infeld-type electrodynamics

“…The super-conductivity was investigated by considering AdS/CFT duality [16]. Thermodynamics of dyonic BH, phase transitions and critical phenomena were studied in [17], [18]. All these shows the importance of dyonic BH solutions.…”

“…In [32]- [44] NED's coupled to general relativity (GR) were investigated. Thermodynamics of BH was studied in [18]- [52]. Electric and magnetic charged BHs were investigated in the framework of NED in [53]- [61].…”