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Critical behavior of charged AdS black holes surrounded by quintessence via an alternative phase space

机译:充电广告的临界行为通过替代阶段空间被Quintessence包围的黑洞

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Considering the variable cosmological constant in the extended phase space has a significant background in the black hole physics. It has been shown that the thermodynamic behavior of charged anti–de Sitter black hole surrounded by the quintessence in the extended phase space is similar to the van der Waals fluid. In this paper, we indicate that such a black hole admits the same criticality and van der Waals–like behavior in the nonextended phase space. In other words, we keep the cosmological constant as a fixed parameter, and instead, we consider the normalization factor as a thermodynamic variable. We show that there is a first-order small/large black hole phase transition which is analogous to the liquid/gas phase transition in fluids. We introduce a new picture of the equation of state and then we calculate the corresponding critical quantities. Moreover, we obtain the critical exponents and show that they are the same values as of the van der Waals system. Finally, we study the photon sphere and the shadow observed by a distant observer and investigate how the shadow radius may be affected by the variation of black hole parameters. We also investigate the relations between shadow radius and phase transitions and calculate the critical shadow radius where the black hole undergoes a second-order phase transition.
机译:考虑到扩展相空间中的可变宇宙学常数在黑洞物理中具有重要的背景。已经表明,被延伸期空间中的Quintessence围绕的带电抗DE设立黑洞的热力学行为类似于VAN DER WALS流体。在本文中,我们表明这种黑洞承认非展开相空间中的相同临界和范德瓦尔斯的行为。换句话说,我们将宇宙学常量保持为固定参数,而是考虑归一化因子作为热力学变量。我们表明,有一流的小/大黑洞相变,其类似于流体中的液体/气相过渡。我们介绍了状态方程的新图片,然后计算相应的关键数量。此外,我们获得了关键指数,并表明它们与Van der Waals系统的值与van der waals系统相同。最后,我们研究了光子球和远处观察者观察到的阴影,并研究了荫半径如何受黑洞参数变化的影响。我们还研究了阴影半径和相变之间的关系,并计算了黑洞经历二阶相转变的关键阴影半径。

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