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Geometrical thermodynamics and P-V criticality of charged accelerating AdS black holes
Annals of Physics ( IF 3.0 ) Pub Date : 2021-08-08 , DOI: 10.1016/j.aop.2021.168577
Kh. Jafarzade 1, 2 , J. Sadeghi 1, 2 , B. Eslam Panah 1, 2, 3, 4 , S.H. Hendi 5, 6
Affiliation  

The unusual asymptotic structure of the accelerating black holes led to ambiguity in their geometric characteristics and thermodynamic behavior. Motivated by the interesting properties of such black holes and the significant role of electric charge and string tension on their structure, we study the thermodynamic behavior of these black holes by two methods and examine the changes of free parameters on the thermal behavior of the black holes. First, we investigate phase transition and thermal stability of the system through the use of heat capacity in the non-extended phase space. We examine the effects of electric charge, string tension and the cosmological constant on the phase transition and stability of the system. We also find that to have a phase transition, we have to apply some constraints on the free parameters. Then, we employ the geometrical thermodynamic (GT) method to study phase transition and compare the obtained results with those of the heat capacity. Next, we work in the extended phase space by considering the cosmological constant as a dynamical pressure and evaluate the existence of van der Waals like phase transition. We obtain critical quantities and study the effective role of electric charge and string tension on these quantities. Finally, we make use of the GT method in the extended phase space and find that the results of the GT method, heat capacity and PV diagram lead to a consistent conclusion.



中文翻译:

带电加速 AdS 黑洞的几何热力学和 PV 临界性

加速黑洞不寻常的渐近结构导致它们的几何特征和热力学行为模糊不清。受此类黑洞有趣的性质以及电荷和弦张力对其结构的重要作用的启发,我们通过两种方法研究了这些黑洞的热力学行为,并检查了自由参数对黑洞热行为的变化. 首先,我们通过使用非扩展相空间中的热容来研究系统的相变和热稳定性。我们研究了电荷、弦张力和宇宙常数对系统相变和稳定性的影响。我们还发现要进行相变,我们必须对自由参数施加一些约束。然后,我们采用几何热力学 (GT) 方法来研究相变并将所得结果与热容的结果进行比较。接下来,我们通过将宇宙学常数视为动态压力并评估范德瓦尔斯(如相变)的存在,在扩展相空间中工作。我们获得临界量并研究电荷和弦张力对这些量的有效作用。最后,我们在扩展相空间中利用 GT 方法,发现 GT 方法的结果,热容和 我们在扩展相空间中工作,将宇宙学常数视为动态压力,并评估范德瓦尔斯(van der Waals)等相变的存在。我们获得临界量并研究电荷和弦张力对这些量的有效作用。最后,我们在扩展相空间中利用 GT 方法,发现 GT 方法的结果,热容和 我们在扩展相空间中工作,将宇宙学常数视为动态压力,并评估范德瓦尔斯(van der Waals)等相变的存在。我们获得临界量并研究电荷和弦张力对这些量的有效作用。最后,我们在扩展相空间中利用 GT 方法,发现 GT 方法的结果,热容和- 图表得出一致的结论。

更新日期:2021-08-19
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