论文标题
加速,旋转和充电的Plebanski-Demianski黑洞的一般类
The General Class of Accelerating, Rotating and Charged Plebanski-Demianski Black Holes as Heat Engine
论文作者
论文摘要
我们首先在存在宇宙常数的情况下首先回顾加速,旋转和充电的Plebanski-Demianski(PD)黑洞,其中包括Kerr-Newman旋转黑洞和Taub-Nut Spacetime。我们假设热力学压力可以用负宇宙常数描述,因此黑洞代表反DE保姆(ADS)PD黑洞。由于热力学系统,获得了热力学数量,例如表面积,熵,体积,温度,吉布和ADS PD黑洞的自由能。接下来,我们发现ADS PD黑洞的临界点和相应的临界压力,临界温度和临界体积。由于研究了特定的热容量,我们获得了$ {\ cal c} _ {v} = 0 $和$ {\ cal c} _ {p} \ ge 0 $。从这个结果,我们得出结论,ADS PD黑洞可能是稳定的。我们检查了PD黑洞的Joule-Thomson扩展,并通过评估Joule-Thomson系数$μ$的迹象,我们确定PD黑洞的加热和冷却性质。放置$μ= 0 $,我们发现反转温度。接下来,我们研究ADS PD黑洞的热发动机。在Carnot周期中,我们获得完成的工作及其最大效率。我们还描述了完成的工作及其对新引擎的效率。最后,我们分析了PD黑洞热发动机中Rankine循环的效率。
We first review the general class of accelerating, rotating and charged Plebanski-Demianski (PD) black holes in presence of cosmological constant, which includes the Kerr-Newman rotating black hole and the Taub-NUT spacetime. We assume that the thermodynamical pressure may be described by the negative cosmological constant and so the black hole represents anti-de Sitter (AdS) PD black hole. The thermodynamic quantities like surface area, entropy, volume, temperature, Gibb's and Helmholtz's free energies of the AdS PD black hole are obtained due to the thermodynamic system. Next we find the critical point and corresponding critical pressure, critical temperature and critical volume for AdS PD black hole. Due to the study of specific heat capacity, we obtain ${\cal C}_{V}=0$ and ${\cal C}_{P}\ge 0$. From this result, we conclude that the AdS PD black hole may be stable. We examine the Joule-Thomson expansion of PD black hole and by evaluating the sign of Joule-Thomson coefficient $μ$, we determine the heating and cooling nature of PD black hole. Putting $μ=0$, we find the inversion temperature. Next we study the heat engine for AdS PD black hole. In Carnot cycle, we obtain the work done and its maximum efficiency. Also we describe the work done and its efficiency for a new engine. Finally, we analyze the efficiency for the Rankine cycle in PD black hole heat engine.