论文标题
广告的几何形状在扩展相空间中的黑洞热力学
Geometry of AdS black hole thermodynamics in extended phase space
论文作者
论文摘要
我们考虑在四个维度上的抗De-Sitter（ADS）黑洞热力学的几何形状，其中扩展相空间形式上的状态方程式可以与正常流体系统进行明确的比较。我们表明，对于此处考虑的二维参数歧管，标量曲率与热力学体积成正比。这使我们能够批判性地研究黑洞热力学在扩展相空间中的几何方法的适用性。我们展示了在正常流体系统中预期的几种标准特征如何对黑洞参数施加严重限制，从而导致这样一个事实，即当前有关在扩展相空间中热力学几何形状的文献中的几种结果可能在物理上无效。这些对于充电和旋转广告的黑洞都是正确的。作为我们分析的副产品，我们检查了关于在带电的ADS Blacks Backgrounds中，共存阶段相关长度相关长度的猜想，并找到合理的有效性。
We consider the geometry of anti-de-Sitter (AdS) black hole thermodynamics in four dimensions, where the equation of state in the extended phase space formalism allows explicit comparison with normal fluid systems. We show that for the two-dimensional parameter manifolds considered here, the scalar curvature is proportional to the thermodynamic volume. This allows us to critically examine the applicability of geometric methods in black hole thermodynamics in extended phase space. We show how several standard features that are expected to hold in normal fluid systems impose severe restrictions on the black hole parameters, leading to the fact that several results in the current literature on the geometry of thermodynamics in extended phase space may be physically invalid. These are true for both charged and rotating AdS black holes. As a by-product of our analysis, we examine a conjecture regarding the equality of the correlation lengths of co-existing phases near criticality, in charged AdS black hole backgrounds, and find reasonable validity.
