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 mom...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.展开更多
Holographic thermalization for a black hole surrounded by phantom dark energy is probed. The result shows that the smaller the phantom dark energy parameter is, the easier the is plasma to thermalize as the chemical p...Holographic thermalization for a black hole surrounded by phantom dark energy is probed. The result shows that the smaller the phantom dark energy parameter is, the easier the is plasma to thermalize as the chemical potential is fixed, the larger the chemical potential is, and the harder the plasma is to thermalize as the dark energy parameter is fixed. The thermalization velocity and thermalization acceleration are presented by fitting the thermalization curves.展开更多
基金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)the Fundamental Research Funds of ChinaWest Normal University(Grant No.18Q062).
文摘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.
基金Supported by the National Natural Science Foundation of China under Grant Nos 11405016 and 11365008the China Postdoctoral Science Foundation under Grant No 2016M590138
文摘Holographic thermalization for a black hole surrounded by phantom dark energy is probed. The result shows that the smaller the phantom dark energy parameter is, the easier the is plasma to thermalize as the chemical potential is fixed, the larger the chemical potential is, and the harder the plasma is to thermalize as the dark energy parameter is fixed. The thermalization velocity and thermalization acceleration are presented by fitting the thermalization curves.
