Thermodynamics and phase transition in the Kerr–de Sitter black hole
Thermodynamics and phase transition in the Kerr–de Sitter black hole
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DOI：
10.1103/physrevd.91.084009
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发表时间：
2015-04
影响因子：
5
通讯作者：
Xiong-ying Guo;Huai-fan Li;Li-chun Zhang;R. Zhao
中科院分区：
文献类型：
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作者：
Xiong-ying Guo;Huai-fan Li;Li-chun Zhang;R. Zhao
众所周知，克尔-德西特时空中存在黑洞和宇宙视界。两个视界上的热力学量都满足黑洞热力学定律。在本文中，通过考虑两个视界之间的关系，我们给出了轴对称德西特时空中的有效热力学量。分析了这些有效量的热力学性质。此外，还获得了临界温度和临界压力。我们得出结论，相变点与角动量无关。它仅取决于黑洞视界和宇宙视界的比率。这一结果与临界点液-气相变的性质一致，从而加深了对旋转德西特时空和液-气系统类比的理解。
It is well known that there is a black hole and cosmological horizons in a Kerr–de Sitter spacetime. The thermodynamic quantities on both horizons satisfy the laws of black hole thermodynamics. In this paper, by considering the relations between the two horizons, we give the effective thermodynamic quantities in axially symmetric de Sitter spacetime. The thermodynamic properties of these effective quantities are analyzed. Moreover, the critical temperature and the critical pressure are obtained. We conclude that the phase transition point is irrelevant to the angular momentum. It only depends on the ratio of the black hole horizon and the cosmological horizon. This result is consistent with the nature of the liquid-gas phase transition at the critical point and, thus, deepens the understanding of the analogy of the rotating de Sitter spacetime and liquid-gas systems.