中国物理B ›› 2020, Vol. 29 ›› Issue (5): 50401-050401.doi: 10.1088/1674-1056/ab7daa

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Thermodynamics and weak cosmic censorship conjecture of charged AdS black hole in the Rastall gravity with pressure

Xin-Yun Hu(胡馨匀), Ke-Jian He(何柯健), Zhong-Hua Li(李中华), Guo-Ping Li(李国平)   

  1. 1 College of Economic and Management, Chongqing Jiaotong University, Chongqing 400074, China;
    2 Physics and Space College, China West Normal University, Nanchong 637000, China
  • 收稿日期:2020-02-11 修回日期:2020-02-17 出版日期:2020-05-05 发布日期:2020-05-05
  • 通讯作者: Guo-Ping Li E-mail:gpliphys@yeah.net
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11875095 and 11903025), the Basic Research Project of Science and Technology Committee of Chongqing (Grant No. cstc2018jcyjA2480), and the Fundamental Research Funds of China West Normal University (Grant No. 18Q062).

Thermodynamics and weak cosmic censorship conjecture of charged AdS black hole in the Rastall gravity with pressure

Xin-Yun Hu(胡馨匀)1, Ke-Jian He(何柯健)2, Zhong-Hua Li(李中华)2, Guo-Ping Li(李国平)2   

  1. 1 College of Economic and Management, Chongqing Jiaotong University, Chongqing 400074, China;
    2 Physics and Space College, China West Normal University, Nanchong 637000, China
  • Received:2020-02-11 Revised:2020-02-17 Online:2020-05-05 Published:2020-05-05
  • Contact: Guo-Ping Li E-mail:gpliphys@yeah.net
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11875095 and 11903025), the Basic Research Project of Science and Technology Committee of Chongqing (Grant No. cstc2018jcyjA2480), and the Fundamental Research Funds of China West Normal University (Grant No. 18Q062).

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摘要： Treating the cosmological constant as a dynamical variable, we investigate the thermodynamics and weak cosmic censorship conjecture (WCCC) of a charged AdS black hole (BH) in the Rastall gravity. We determine the energy momentum relation of charged fermion at the horizon of the BH using the Dirac equation. Based on this relation, it is shown that the first law of thermodynamics still holds as a fermion is absorbed by the BH. However, the entropy of both the extremal and near-extremal BH decreases in the irreversible process, which means that the second law of thermodynamics is violated. Furthermore, we verify the validity of the WCCC by the minimum values of the metric function h(r) at its final state. For the extremal charged AdS BH in the Rastall gravity, we find that the WCCC is always valid since the BH is extreme. While for the case of near-extremal BH, we find that the WCCC could be violable in the extended phase space (EPS), depending on the value of the parameters of the BH and their variations.

关键词: Rastall gravity, extended phase space, black hole thermodynamics, weak cosmic censorship conjecture

Abstract: Treating the cosmological constant as a dynamical variable, we investigate the thermodynamics and weak cosmic censorship conjecture (WCCC) of a charged AdS black hole (BH) in the Rastall gravity. We determine the energy momentum relation of charged fermion at the horizon of the BH using the Dirac equation. Based on this relation, it is shown that the first law of thermodynamics still holds as a fermion is absorbed by the BH. However, the entropy of both the extremal and near-extremal BH decreases in the irreversible process, which means that the second law of thermodynamics is violated. Furthermore, we verify the validity of the WCCC by the minimum values of the metric function h(r) at its final state. For the extremal charged AdS BH in the Rastall gravity, we find that the WCCC is always valid since the BH is extreme. While for the case of near-extremal BH, we find that the WCCC could be violable in the extended phase space (EPS), depending on the value of the parameters of the BH and their variations.

Key words: Rastall gravity, extended phase space, black hole thermodynamics, weak cosmic censorship conjecture

中图分类号:  (Singularities and cosmic censorship)

  • 04.20.Dw
04.70.-s (Physics of black holes) 04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics) 04.20.-q (Classical general relativity)