Accelerating AdS black holes as the holographic heat engines in a benchmarking scheme

Abstract

We investigate the properties of holographic heat engines with an uncharged accelerating non-rotating AdS black hole 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 as a thermodynamic variable. In general, the efficiency can be increased by enlarging the cycle, but is still constrained by a universal bound 2π/(π + 4) as expected. A cross-comparison of the efficiencies of the accelerating black hole heat engines and Schwarzschild-AdS black hole heat engines suggests that the acceleration also increases the efficiency although the amount of increase is not remarkable.

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].…”

Thermodynamics of charged accelerating AdS black holes and holographic heat engines

“…Based on the correct thermodynamics of uncharged accelerating AdS black holes stated in Ref. [59], the properties of the corresponding benchmarking holographic heat engines have been studied in detail [46]. However, a formulation of the first law of thermodynamics and an examination of the holographic heat engines when the accelerating black hole is charged, where the additional special asymptotic structure of the gauge field renders the thermodynamics a non-trivial task, are quite challenging [59].…”

Conical holographic heat engines

“…We also consider the impact of shifting the position of the benchmarking cycle in the P -V plane. Accelerating black holes in the benchmarking framework have been briefly investigated by Zhang et al [35,36], although in their study the thermodynamics have been unjustly constrained by a choice to remove the tension from one of the polar axes. We find that it is the average of the "north" and "south" polar tensions that comes to dominate cycle efficiency over the acceleration induced by their differential.…”