论文标题
在广告空间中的四维电荷高斯黑洞的扩展热力学和微观结构
Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space
论文作者
论文摘要
新的四维黑洞解决方案的发现提出了一种新的方法，可以理解低维度的高斯重力。在本文中，我们通过研究四维充电广告黑洞的相变和微观结构来测试高斯 - 骨网重。在扩展的相空间中，将宇宙常数和高斯轴耦合参数视为热力学变量，我们发现热力学第一定律和相应的SMARR公式得到了满足。在规范的集合和大规范合奏中，我们都观察到了小型黑洞相变，这与范德尔壁流体的情况相似。这种相变也可以出现在中性黑洞系统中。此外，我们构建了Ruppeiner几何形状，发现除了吸引人的相互作用之外，排斥相互作用也可以在带电或中性黑孔系统中高温的小黑洞的微观结构中占主导地位。这与五维中性黑洞完全不同，只能找到主要的有吸引力的相互作用。还检查了归一化标态曲率的关键行为。这些结果将把新的光放到四维高斯重力的特征性特性中。
The discovery of new four-dimensional black hole solutions presents a new approach to understand the Gauss-Bonnet gravity in low dimensions. In this paper, we test the Gauss-Bonnet gravity by studying the phase transition and microstructures for the four-dimensional charged AdS black hole. In the extended phase space, where the cosmological constant and the Gauss-Bonnet coupling parameter are treated as thermodynamic variables, we find that the thermodynamic first law and the corresponding Smarr formula are satisfied. Both in the canonical ensemble and grand canonical ensemble, we observe the small-large black hole phase transition, which is similar to the case of the van der Walls fluid. This phase transition can also appear in the neutral black hole system. Furthermore, we construct the Ruppeiner geometry, and find that besides the attractive interaction, the repulsive interaction can also dominate among the microstructures for the small black hole with high temperature in a charged or neutral black hole system. This is quite different from the five-dimensional neutral black hole, for which only dominant attractive interaction can be found. The critical behaviors of the normalized scalar curvature are also examined. These results will shed new light into the characteristic property of four-dimensional Gauss-Bonnet gravity.
