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The Extended Thermodynamics and Weak Cosmic Censorship Conjecture of Phantom Reissner-Nordstrom-Ads Black Hole

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Abstract

We investigated the thermodynamics of phantom Reissner-Nordstrom-AdS black hole including PVh, where the cosmological constant is the thermodynamic pressure P. Considering the contribution of the absorbed particles to the gravitational system, we obtained the relations between the internal energy and the conserved quantities in the system, and directly deduced the first law of balck hole thermodynamics. Further, we find that near-extreme black holes and extreme black holes violate the second law of thermodynamics, while non-extreme black holes obey the second law of thermodynamics.We also investigated the effect of pressure and volume on the weak cosmic censorship conjecture, and the results show that this conjecture is valid even for extreme black holes, because the weak cosmic censorship conjecture is independent of phase space.

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Acknowledgments

This work is supported by the Basic Research Project of Science and Technology Committee of Chongqing (Grant No. cstc2019jcyj-msxmX0081).

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Authors and Affiliations

  1. Department of Physics, College of Computer Science and Electronic Information Engineering, Chongqing Technology and Business University, Chongqing, 400067, China

    Yi-Wen Han & Yun Hong

  2. Physics and Space College, China West Normal University, Nanchong, 637000, China

    Ke-Jian He

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  1. Yi-Wen Han
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  2. Ke-Jian He
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  3. Yun Hong
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Correspondence to Yi-Wen Han.

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Han, YW., He, KJ. & Hong, Y. The Extended Thermodynamics and Weak Cosmic Censorship Conjecture of Phantom Reissner-Nordstrom-Ads Black Hole. Int J Theor Phys 59, 1537–1546 (2020). https://doi.org/10.1007/s10773-020-04421-4

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  • DOI: https://doi.org/10.1007/s10773-020-04421-4

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