论文标题
F（R，ϕ）重力中BTZ黑洞的热力学几何分析
Thermodynamic geometric analysis of BTZ black hole in f(R,ϕ) Gravity
论文作者
论文摘要
在这项工作中，我们在F（R）重力下获得了扩展黑洞溶液的热力学几何形状。这是我们工作的基础。我们还为某些解决方案获得了F（R）模型的确切形式。在热力学分析中，我们计算了热力学量，例如这些溶液的温度和熵，并将它们与相应的BTZ黑洞进行比较。之后，我们研究了ruppeiner几何形状，例如BTZ黑洞的F（r）重力（延长的黑洞溶液），并分析了Ruppeiner几何形状与范德华方程的热力学比较，以进行相位过渡过程。
In this work, we obtain the thermodynamic geometry of the extended black hole solution under f(R) gravity. This is the foundation of our work. We also obtain the exact form of the f(R) model for some solutions. In the thermodynamic analysis, we calculate the thermodynamic quantities such as temperature and entropy of these solutions and compare them with the corresponding BTZ black holes. After that, we study the Ruppeiner geometry, such as the f(R)-gravity (extended black hole solution) of the BTZ black hole, and analyze the thermodynamic comparison of the Ruppeiner geometry with the van der Waals equation for its phase transition process.
