论文标题
指数校正的黑洞的热力学
Exponential corrected thermodynamics of black holes
论文作者
论文摘要
最近，据报道，被解释为量子效应的热波动通过指数项修改了黑洞熵。现在，我们发现这种修饰对黑洞质量和其他热力学量的影响。我们发现Schwarzschild黑洞质量通过热波动减少。因此，我们通过计算分区函数来研究指数校正的黑洞的热力学和统计。我们在事件范围半径上获得特殊条件，以满足量子校正存在的Smarr-Gibbs-Duhem关系。如我们所知，Schwarzschild黑洞是不稳定的，而指数校正的效果是$ 4D $ SCHWARZSCHILD BLACK HOL和SCHWARZSCHILD-ADS BLACK HOL在一个小区域的稳定性。另一方面，$ 5D $ Schwarzschild黑洞完全不稳定。量子校正对Reissner-Nordström黑洞的影响在量子尺度上是不稳定的。最后，我们考虑了充电广告的最一般情况，并研究了校正的热力学。
Recently, it is reported that thermal fluctuations, which are interpreted as quantum effects, modify the black holes entropy by an exponential term. We now find the effect of such modification on the black hole mass and other thermodynamics quantities. We find that the Schwarzschild black hole mass decreased by thermal fluctuations. Hence, we study exponential corrected thermodynamics and statistics of black holes by computing the partition function. We obtain the special condition on the event horizon radius to satisfy Smarr-Gibbs-Duhem relation in the presence of quantum correction. As we know, the Schwarzschild black hole is unstable, while the effect of exponential correction is the stability of $4D$ Schwarzschild black hole as well as the Schwarzschild-AdS black hole at a small area. On the other hand, a $5D$ Schwarzschild black hole is completely unstable. The effect of the quantum correction on the Reissner-Nordström black hole is instability at quantum scales. Finally, we consider the most general case of charged AdS black hole and study the corrected thermodynamics.
