Critical behavior of AdS Gauss–Bonnet massive black holes in the presence of external string cloud

Abstract

Following previous study about AdS-Schwarzschild black holes minimally coupled to a cloud of strings in the context of massive gravity [1] and inspired by strong connection between Gauss-Bonnet Gravity and heterotic string theory, in this paper, we first take into account the Gauss-Bonnet term and we study thermodynamics and critical behavior of these black holes in the extended phase space. The effects of Gauss-Bonnet, massive, and string cloud parameters on the criticality of these black holes has been investigated. It can be seen that the Gauss-Bonnet and massive parameters have opposite effects on the criticality and phase transition of the solutions. We also observe that the increase in the value of the string cloud parameter above a critical value, eliminates the van der Waals like behavior of these solutions. Also, the Joule-Thomson effect is not observed. Then we examine thermal stability of these black holes in canonical ensemble by calculating the heat capacity. In addition, we explore critical behavior in extended phase space by employing heat capacity and consequently, we observe that the results are in agreement with the previous results from the usual method in section 3.

AdS black holes with higher derivative corrections in presence of string cloud

“…With this assumption, as shown in [13][14][15][16][17] the action (1) admits a black hole solution. The metric tensor of this solution is,…”

“…We begin with a brief review of black hole solutions [13][14][15][16][17] of Einstein Gauss Bonnet theory, which are asymptotically AdS in presence of string clouds. The string clouds correspond to introducing strings in the background.…”

“…Several works [11][12][13][14][15][16][17] have considered string clouds which amounts to considering external heavy quarks in the dual gauge theory. The Einstein theory with string clouds admits black hole solutions with three different radii and the thermodynamics of them has been discussed by one of us [12], which also showed a Hawking-Page like phase transition between two black hole solutions.…”

The effect of three matters on KSS bound

“…String theory in which the fundamental ingredient of our universe is assumed to be one-dimensional strings, instead of particles, tries to merge the gravitational theory and quantum mechanics. An extension of this idea is to consider a cloud of strings [27]- [33] and study its possible measurable effects on long range gravitational fields of some sources, shuch as black holes. Letelier [27] has tried to extend the idea of a string to a black hole, possibly to reveal some properties of the blac khole.…”

Joule-Thomson expansion of Lower-dimensional black hole

“…Kerr-AdS black holes [47], regular(Bardeen)-AdS black holes [48], RN-AdS black holes in f (R) gravity [49], quintessence RN-AdS black holes [50], Bardeen-AdS black holes [51] and other black holes [52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71]. In these papers, the inversion curves, the isenthalpic curves and the heating-cooling regions in the T −P plane for different black holes were given.…”