Thermodynamics of charged accelerating AdS black holes and holographic heat engines

Abstract

Using a reasonable choice in normalizing the timelike Killing vector, we investigate the thermodynamic properties of charged accelerating Anti-de Sitter (AdS) black holes. We find that the expression of the thermodynamic mass in the first law of thermodynamics displays an inextricably intertwining behavior with the charge due to the unusual asymptotic structure of the accelerating black holes. Meanwhile, the thermodynamic length as a potential conjugate to the varying cosmic string tension is introduced and analyzed in detail, and the possible phase behavior of the charged accelerating black holes is also discussed in a standard thermodynamic analysis. Furthermore, we also investigate the properties of holographic heat engines with charged accelerating AdS black holes as the working substance in a benchmarking scheme. We find that the efficiencies of the black hole heat engines can be influenced by both the size of the benchmark circular cycle and the cosmic string tension. More interestingly, the existence of charge may significantly increase the efficiencies of the black hole heat engines and make them be more sensitive to a varying cosmic string tension. A cross-comparison of the efficiencies of different black hole heat engines suggests that the acceleration also increases the efficiency and renders it more sensitive as the charge varies.

Thermodynamics of charged, rotating, and accelerating black holes

“…Standard thermodynamic analysis seems to be possible for observers using the metric (3) (e.g. [43]) despite the fact that charged rotating black holes emit gravitational and electromagnetic radiation at infinity [37,38], since the coordinates from which we obtained our thermodynamic parameters are analogous to those of an observer comoving with an accelerating charged object, who sees no radiation because it escapes into a region inaccessible to this observer [39]. It is an interesting future project to obtain a deeper understanding of this relationship.…”

Effects of quantum corrections on the criticality and efficiency of black holes surrounded by a perfect fluid

“…Using ω = 1/3 in Eq. (29) we see that the pressure diverges when x → 1, i.e., when the horizon radius approaches the length scale of the quantum correction. As can be seen, the black hole becomes electrically neutral for a limited value of the horizon x n ,…”

“…We shall analyze the effect of quantum corrections on the efficiency of some processes for different perfect fluids surrounding the black hole. This framework was first idealized by Johnson [27] and has been explored in different contexts [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46]. This paper is organized in the following way.…”

fR Gravity Effects on Charged Accelerating AdS Black Holes Using Holographic Tools

“…The latters, being known to be described by the so-called C-metric [37][38][39][40], have been used not only to study the pair creation of black holes [41], the splitting of cosmic strings [42,43], but also to construct the black rings in five-dimensional gravity, motivated by string theory and related inspired models [44]. The thermodynamics of accelerating black holes [45], generalized results to the case of varying conical deficits for C-metric, and their applications to holographic heat engines, have been studied in many places, see for instance [45][46][47][48][49][50].…”