The last lost charge and phase transition in Schwarzschild AdS minimally coupled to a cloud of strings

Abstract

In this paper we study the Schwarzschild AdS black hole with a cloud of string background in an extended phase space and investigate a new phase transition related to the topological charge. By treating the topological charge as a new charge for black hole solution we study its thermodynamics in this new extended phase space. We treat by two approaches to study the phase transition behavior via both T − S and P − v criticality and we find the results confirm each other in a nice way. It is shown a cloud of strings affects the critical physical quantities and it could be observed an interesting Van der Waals-like phase transition in the extended thermodynamics. The swallow taillike behavior is also observed in Free Energy-Temperature diagram. We observe in a → 0 limit the small/large black hole phase transition reduces to the Hawking-Page phase transition as we expects. We can deduce that the impact of cloud of strings in Schwarzschild black hole can bring Van der Waals-like black hole phase transition. *

Effects of the external string cloud on the Van der Waals like behavior and efficiency of AdS-Schwarzschild black holes in massive gravity

“…The appearance of these values indicates critical behavior in five dimensions (see Figure 7). We note that if we exclude the massive term(m → 0), the above equations are converted to the results in Ref [47] which is valid for k = 1, therefore in the absence of the massive term, we have critical behaviour only for spherical topology. In other words Einstein gravity modification with massive graviton in the presence of external string cloud can display second order phase transition and van der Waals like behaviour for topological black holes(k = 0, −1).…”

“…The impact of the cloud of strings on Schwarzschild AdS black hole was investigated and its thermodynamical properties in a non-extended phase space was introduced in [46]. A new extended phase space of Schwarzschild AdS black hole with an energy-momentum tensor coming from a cloud of strings related to the topological charge was illustrated by two formal approaches in [47] which leads to the same result in [46]. It is seen that the effect of string cloud can bring Van der Waals-like behaviour and second order phase transition in an extended phase space, while we know Schwarzchild black hole cannot display a phase transition.…”

Joule-Thomson expansion of Reissner-Nordström-Anti-de Sitter black holes with cloud of strings and quintessence

“…Just under such a background, others investigated the thermodynamic property aspects [9] and the tensor quasinormal modes [10]. It also had some interesting results that raised attention [11][12][13][14][15][16][17].…”

Thermodynamic phase transition and Joule Thomson adiabatic expansion for dS/AdS Bardeen Black Holes with consistent 4D Gauss-Bonnet gravity

“…The first idea to solve this problem led to the consideration of a negative cosmological constant [3,4,5,6,7] which it is called conjugate variable for the thermodynamic volume. There are done a lot of research where the PV criticality of the AdS black holes thermodynamics mimic the well known Van der Waals ordinary gases [8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26].Recently Glavan and Lin released a suitable paper [27] in which an alternative generally covariant gravity theory is defined which in 4D curved space-times can propagates just massless gravitons by bypassing the Lovelock's theorem. This alternative higher order derivative gravity theory has two correction terms called as topological invariant Gauss-Bonnet and a cosmological constant respectively.…”