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

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          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 by using the Dirac equation. Based on this relation, we show that the first law of thermodynamics (FLT) 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 (SLT) 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 valid always since the BH is extreme. While for the case of near-extremal BH, we find the WCCC could be violable in the extended phase space (EPS), depending on the value of the parameters of the BH and their variations.

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          Journal
          07 March 2020
          Article
          2003.04305
          bf9ba408-05c8-4000-b7e0-d027d8430855

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          4 figures; accepted by Chin.Phys. B
          gr-qc

          General relativity & Quantum cosmology
          General relativity & Quantum cosmology

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