标题： 鲁佩纳尔几何，P-V临界性和dRGT大质量引力中黑洞的相互作用微观结构 显示英文标题

标题： Ruppeiner geometry, P-V criticality and interacting microstructures of black holes in dRGT massive gravity

摘要： 我们探究反德西特背景下的dRGT大质量黑洞的微观结构。 计算是在扩展相空间中进行的，压力和体积被作为涨落变量。 我们通过利用Ruppeiner几何来分析微观结构，其中热力学曲率标量是通过绝热压缩率构建的。 研究了小（SBH）和大（LBH）黑洞共存线上的曲率标量的性质。 在微观相互作用中，我们观察到SBH相表现得像任意子气体，而LBH相类似于玻色子气体。 此外，我们研究了引力子质量对黑洞潜在微观结构的影响。 显示英文摘要

摘要： We probe the microstructure of the dRGT massive black hole in an anti-de Sitter background. The calculations are performed in an extended phase space with pressure and volume taken as fluctuation variables. We analyze the microstructure by exploiting the Ruppeiner geometry, where the thermodynamic curvature scalar is constructed via the adiabatic compressibility. The nature of the curvature scalar along the coexistence line of small (SBH) and large (LBH) black holes is investigated. In the microscopic interaction, we observe that the SBH phase behaves as an anyonic gas and the LBH phase is analogous to a boson gas. Further, we study the effect of graviton mass on the underlying microstructure of the black hole.