论文标题
通用黑洞的扩展相空间中临界点热力学曲率标量的发散行为
Divergence Behavior of Thermodynamic Curvature Scalar at Critical Point in the Extended Phase Space of Generic Black Holes
论文作者
论文摘要
$ p $ - $ v $相位过渡和关键行为在渐近抗DE保姆（ADS）黑洞的扩展相空间中进行了广泛研究，其中发现关键点周围的四个关键指数与平均场理论中的值一致。最近，通过使用热力学曲率标量$ r_n $在充电广告黑洞中，提出了与临界点不同相关长度相关的另一个关键指数$ν$。在本文中，我们开发了一种方法来研究关键点$ r_n $的不同行为，并发现关键点周围$ r_n $的发散行为表达了通用黑洞中的通用属性。我们进一步直接应用这种方法来研究De Rham-Gabadadze-Tolley（DRGT）大量重力中的黑洞以检查这种普遍性。这些结果在黑洞的微观特性上散发出了新的灯光。
The $P$-$V$ phase transition and critical behavior in the extended phase space of asymptotic Anti-de Sitter (AdS) black holes have been widely investigated, in which four critical exponents around critical point are found to be consistent with values in the mean field theory. Recently, another critical exponent $ν$ related to divergent correlation length at critical point is proposed by using thermodynamic curvature scalar $R_N$ in the charged AdS black hole. In this paper, we develop a method to investigate the divergent behavior of $R_N$ at critical point, and find that the divergent behavior of $R_N$ around the critical point expresses a universal property in generic black holes. We further directly apply this method to investigate black holes in de Rham-Gabadadze-Tolley (dRGT) massive gravity to check this universality. Those results shed new lights on the microscopic properties of black holes.
