论文标题
热力学和弱宇宙审查猜想是带压力的Rastall Gravity中带有电荷广告的黑洞
Thermodynamics and weak cosmic censorship conjecture of charged AdS black hole in the Rastall gravity with pressure
论文作者
论文摘要
将宇宙常数视为动力学变量，我们研究了Rastall Gravity中带电的广告黑洞（BH）的热力学和弱宇宙审查猜想（WCCC）。我们通过使用DIRAC方程来确定带电费的能量动量关系。基于这种关系，我们表明，热力学的第一定律（FLT）仍然存在，因为BH吸收了fermion。然而，极端和近端BH的熵在不可逆的过程中都会下降，这意味着违反了热力学定律（SLT）。此外，我们通过公制函数h（r）在其最终状态下的最低值验证了WCCC的有效性。对于Rastall Gravity中的极端带电的ADS BH，我们发现WCCC始终有效，因为BH是极端的。对于接近超级BH的情况，我们发现WCCC在扩展相空间（EPS）中可能是可违反的，具体取决于BH的参数及其变化的值。
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.
