论文标题
在霍金页面过渡的广告黑洞的通用常数上
On Universal Constants of AdS Black Holes from Hawking-Page Phase Transition
论文作者
论文摘要
我们研究了广告黑洞的霍金 - 页面过渡的热力学特性。我们为存在与霍金页（HP）和最小黑洞热力学跃迁点相关的两个通用临界常数提供了证据。这些常数由C_S = \ frac {s_ {hp} -s_ {min}} {s_ {min}}和c_t = \ frac {t_ {hp} -t_ {min}}} t_ {min}（t_ {hp}）分别是最小（HP相变）熵和温度，在此不存在黑洞。对于四维非旋转黑洞的大型类别，我们找到C_S = 2和C_T = \ frac {2- \ sqrt {3}}} {\ sqrt {3}}。但是，对于旋转情况，这种通用比率略微影响而不会失去预期值。采用涉及旋转参数的少量值，我们恢复相同的常数。在某些细节中还讨论了具有其他通用常数的较高维度模型。
We investigate the thermodynamic properties of the Hawking-Page phase transition of AdS black holes. We present evidence for the existence of two universal critical constants associated with the Hawking-Page (HP) and minimum black hole thermodynamical transition points. These constants are defined by C_S =\frac{S_{HP}-S_{min}}{S_{min}} and C_T =\frac{T_{HP}-T_{min}}{T_{min}} where S_{min}(S_{HP}) and T_{min}(T_{HP}) are the minimal (HP phase transition) entropy and temperature, respectively, below which no black hole can exist. For a large class of four dimensional non-rotating black holes, we find C_S =2 and C_T = \frac{2-\sqrt{3}}{\sqrt{3}}. For the rotating case, however, such universal ratios are slightly affected without losing the expected values. Taking small values of the involved rotating parameter, we recover the same constants. Higher dimensional models, with other universal constants, are also discussed in some details.
