高阶熵修正的Schwarzschild-Beltrami-de Sitter黑洞的热力学
Thermodynamics of Higher Order Entropy Corrected Schwarzschild-Beltrami-de Sitter Black Hole
摘要：
本文考虑熵的高阶修正，研究最近提出的Schwarzschild-Beltrami-de Sitter黑洞的物理性质，它确实是具有正宇宙学常数的Einstein方程的精确解.利用修正熵和Hawking温度，我们提取了Gibbs和Helmholtz自由能和热容等物理量。我们还研究了热力学第一和第二热力学定律。我们发现，高阶修正的存在，这来自于热涨落，可能会消除某些不稳定性的黑洞。在存在一阶和二阶修正的情况下，不稳定到稳定的相变也是可能的。
英文摘要：
In this paper, we consider higher order correction of the entropy and study the thermodynamical properties of recently proposed Schwarzschild-Beltrami-de Sitter black hole, which is indeed an exact solution of Einstein equation with a positive cosmological constant. By using the corrected entropy and Hawking temperature we extract some thermodynamical quantities like Gibbs and Helmholtz free energies and heat capacity. We also investigate the first and second laws of thermodynamics. We find that presence of higher order corrections, which come from thermal fluctuations, may remove some instabilities of the black hole. Also unstable to stable phase transition is possible in presence of the first and second order corrections.
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