论文标题
充电广告的热力学曲率的普遍关键性黑洞
Universal criticality of thermodynamic curvatures for charged AdS black holes
论文作者
论文摘要
在本文中，我们分析研究了热力学曲率的关键指数和通用幅度，例如在带电Ads黑洞的小型黑洞临界点处的固有和外部曲率。在关键点，发现标准化的固有曲率$ r_n $和外部曲率$ k_n $分别具有关键指数2和1。基于它们，通用振幅$ r_nt^2 $和$ k_nt $用温度参数$ t = t/t_c-1 $计算，其中$ t_c $ $ t_c $是温度的关键值。在关键点附近，我们发现$ r_nt^2 $和$ k_nt $的临界幅度是$ - \ frac {1} {2} {2} $时，$ t \ rightArrow0^+$，而$ t \ r_nt^2 \ of- r_nt^2 \ oft - \ frac {1} {1} {8} $ and limit and limim limim and limim and limim c} $ t \ rightarrow0^ - $。这些结果不仅适用于四维充电广告黑洞，而且适用于较高维度的情况。因此，这种通用性能将对热力学几何形状和黑洞相变的新见解。
In this paper, we analytically study the critical exponents and universal amplitudes of the thermodynamic curvatures such as the intrinsic and extrinsic curvature at the critical point of the small-large black hole phase transition for the charged AdS black holes. At the critical point, it is found that the normalized intrinsic curvature $R_N$ and extrinsic curvature $K_N$ has critical exponents 2 and 1, respectively. Based on them, the universal amplitudes $R_Nt^2$ and $K_Nt$ are calculated with the temperature parameter $t=T/T_c-1$ where $T_c$ the critical value of the temperature. Near the critical point, we find that the critical amplitude of $R_Nt^2$ and $K_Nt$ is $-\frac{1}{2}$ when $t\rightarrow0^+$, whereas $R_Nt^2\approx -\frac{1}{8}$ and $K_Nt\approx-\frac{1}{4}$ in the limit $t\rightarrow0^-$. These results not only hold for the four dimensional charged AdS black hole, but also for the higher dimensional cases. Therefore, such universal properties will cast new insight into the thermodynamic geometries and black hole phase transitions.
