Thermodynamics Of AdS Accelerating Black Holes And Holographic Heat Engines

The black hole is a mysterious object predicted by physicists.Although people have never stopped researching it,there are still many mysteries to be solved.The proposal of black holes of Hawking Radiation prompts the birth and development of back hole thermodynamics.It makes people have a new step on the research of black holes and also builds a bond of the connecting between general relativity and quantum mechanics,which becomes a testing ground for exploring the nature and quantization of gravity.In the process of the vigorous development of black hole thermodynamics,if the cosmological constant is negative as a thermodynamic variables,the typical properties,abundant and stable phase structure of the black hole anti-de sitter space(AdS)black hole thermodynamics will always be the hot spot in this research field.Recently,in order to help people inquire into the properties of black hole thermodynamics better,Johnson used the corresponding of AdS/CFT to propose the concept of the holographic black hole engine.He thinks that different black holes can be used as the working substance of holographic heat engine.And based on this,the related work of the black hole engines was proceeded.Studies have shown that the properties of the engine depends on the thermodynamic properties of black holes and the choice of P-V phase space of heat engine cycle path.In addition,in the discussions of thermodynamic nature of black holes,people tend to focus on the effects of electric charge and angular velocities,while they pay little attention to the accelerated black holes.In fact,in terms of describing the C-metric of the slow accelerating black hole,it has important applications in the creation of double black holes and the theory of 5-dimensional black ring gravity.This paper mainly studies the thermodynamic properties and the efficiency of the holographic engine of AdS accelerating black holes.In the first chapter,we introduce the concept of black hole,black hole thermodynamics and the holographic heat engines.In the second chapter,we mainly introduce the relationship between thermodynamic variables and parameters of AdS accelerating black holes on the C-metric,the concrete expressions of the first law of thermodynamics in the slowly accelerating black hole with the situation that cosmic string tension is fixed and changed.Moreover,the critical behavior of uncharged accelerating black hole is introduced when the cosmic strings tension is variable.In the third,we explore the efficiency of heat engine of benchmarking scheme with the AdS accelerating the black hole as working substance.Using the method of numerical integration,we find that the cosmic string tension,charge,and the size of the circle for AdS accelerating black hole all have an influence on the efficiency of heat engines.In the case of uncharged accelerating black holes,the efficiency of the black hole heat engines varies by both the size of the benchmark circular cycle and the increase of cosmic string tension.For the general case of charged accelerating black holes,the efficiency of circular cycle increases by power function with the size of cosmic string tension and circular cycle,which greatly influences the charge.With the cross-comparison of the efficiency of different black hole heat engines,it suggests that the acceleration also improves the efficiency partly while the charge has a more obvious influence on efficiency.Moreover,we find that the efficiency of the engine is limited by the general boundary 2π(π+4)regardless of the charged or uncharged situation.In the fourth chapter,we make the summary and prospect of this thesis.The proposal of benchmarking scheme black hole heat engines make us compare the influence factors of the efficiency among different black holes and deepen our theoretical exploration of the thermodynamic properties of black holes.