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Hawking–Page phase transition of Reissner–Nordström–de Sitter space-time

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Abstract

Considering the correlation between the black hole and cosmological horizons and regarding the Reissner–Nordström–de Sitter (RN–dS) space-time as a thermodynamic system, we discuss the thermodynamic properties of the RN–dS space-time. The behavior of the thermodynamic quantities as the functions x, which is the ratio of the black hole horizon radius to the cosmological horizon radius, is investigated. We find that the coexistent curve of the Hawking–Page (HP) temperature and HP pressure is a closed curve. That means there exist the upper bounds of the HP temperature and HP pressure, which is different from that in AdS black holes. The further investigation of the HP phase transition for RN–dS space-time will help to understand the evolution and microstructure of de Sitter space-time.

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Acknowledgements

We would like to thank Prof. Ren Zhao and Meng-Sen Ma for their indispensable discussions and comments. This work was supported by the Natural Science Foundation of China (Grant Nos. 11705106, 12075143), the Scientific Innovation Foundation of the Higher Education Institutions of Shanxi Province (Grant Nos. 2020L0471, 2020L0472), and the Science Technology Plan Project of Datong City, China (Grant No. 2020153).

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  1. Department of Physics, Shanxi Datong University, Datong, 037009, China

    Hai-Long Zhen, Yun-Zhi Du, Huai-Fan Li, Li-Chun Zhang & Yu-Bo Ma

  2. Institute of Theoretical Physics, Shanxi Datong University, Datong, 037009, China

    Hai-Long Zhen, Yun-Zhi Du, Huai-Fan Li, Li-Chun Zhang & Yu-Bo Ma

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Zhen, HL., Du, YZ., Li, HF. et al. Hawking–Page phase transition of Reissner–Nordström–de Sitter space-time. Eur. Phys. J. Plus 137, 386 (2022). https://doi.org/10.1140/epjp/s13360-022-02588-9

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