Abstract 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 = S H P − S m i n S m i n and C T = T H P − T m i n T m i n where S m i n ( S H P ) and T m i n ( T H P ) 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 = 2 − 3 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.

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关于来自霍金-佩奇相变的 AdS 黑洞的通用常数

摘要 我们研究了 AdS 黑洞霍金-佩奇相变的热力学性质。我们提供了存在与霍金佩奇 (HP) 和最小黑洞热力学转变点相关的两个通用临界常数的证据。这些常数由 CS = SHP − S min S min 和 CT = THP − T min T min 定义，其中 S min ( SHP ) 和 T min ( THP ) 分别是最小（HP 相变）熵和温度，低于它们没有黑洞可以存在。对于一大类四维非旋转黑洞，我们发现 CS = 2 和 CT = 2 − 3 3 。然而，对于旋转情况，这种通用比率会受到轻微影响，而不会丢失预期值。取所涉及的旋转参数的较小值，我们恢复相同的常数。更高维的模型，