论文标题
在较高维度和较高曲率重力下黑洞的限制相空间热力学
Restricted phase space thermodynamics for black holes in higher dimensions and higher curvature gravities
论文作者
论文摘要
最近提出的受限制的相空间热力学被证明适用于与麦克斯韦场相连的大型较高尺寸的较高曲率重力模型，该模型被称为黑洞扫描模型，并由时空尺寸$ d $和最高级别的$ k $ k $标记为兰克索斯 - 洛克洛克 - 洛克洛克 - 洛克洛克 - 洛克洛克（Lanczos-k）。选择$（d，k）=（5,1），（5,2）$和$（6,2）$的三个典型示例案例被选为示例案例并进行了一些详细研究。这些案例是爱因斯坦·希尔伯特（Einstein-Hilbert）的代表，切恩·西蒙斯（Chern-Simons）和重力模型（Gravity Models）。我们的研究表明，爱因斯坦 - 希尔伯特（Einstein-Hilbert）和像重力模型一样，具有相似的热力学行为，例如具有相同关键指数的等速运费$ t-s $相转换的存在，Isovaltage $ t-s $过渡的存在和鹰式页面（如过渡）以及相似的等速热功能的高温渐近行为。等速电压也不可能发生$ t-s $过渡，也不允许像过渡一样霍金页。这似乎表明爱因斯坦·希尔伯特（Einstein-Hilbert）和像在类似模型一样出生的菲尔德（Born Field）属于同一普遍性阶级，而像模型（Models”（Models）这样的Chern-Simons却没有。
The recently proposed restricted phase space thermodynamics is shown to be applicable to a large class of higher dimensional higher curvature gravity models coupled to Maxwell field, which are known as black hole scan models and are labeled by the spacetime dimension $d$ and the highest order $k$ of the Lanczos-Lovelock densities appearing in the action. Three typical example cases with $(d,k)=(5,1), (5,2)$ and $(6,2)$ are chosen as example cases and studied in some detail. These cases are representatives of Einstein-Hilbert, Chern-Simons and Born-Infield like gravity models. Our study indicates that the Einstein-Hilbert and Born-Infield like gravity models have similar thermodynamic behaviors, e.g. the existence of isocharge $T-S$ phase transitions with the same critical exponents, the existence of isovoltage $T-S$ transitions and the Hawking-Page like transitions, and the similar high temperature asymptotic behaviors for the isocharge heat capacities, etc. However, the Chern-Simons like $(5,2)$-model behaves quite differently. Neither isocharge nor isovoltage $T-S$ transitions could occur and no Hawking-Page like transition is allowed. This seems to indicate that the Einstein-Hilbert and Born-Infield like models belong to the same universality class while the Chern-Simons like models do not.
