论文标题
大量重力中的热力学极端关系
Thermodynamic extremality relations in the massive gravity
论文作者
论文摘要
在Goon和Penco的工作中，领先的矫正与熵的校正之间存在着普遍的关系。在本文中，我们将这项工作扩展到了大量的重力，并研究了拓扑高维黑洞中的热力学极端关系。重新固定的宇宙常数被添加到大量重力作为扰动校正的作用中。这种校正改变了黑洞的极端界限，并导致质量，熵等的移位。关于与压力相关的变量的宇宙常数，我们分别通过准确的计算获得质量和压力，电荷，参数$ c_i $之间的热力学极值关系。最后，这些关系通过三重产品认同来验证，这表明普遍关系存在于黑洞中。
A universal relation between the leading correction to the entropy and extremality was gotten in the work of Goon and Penco. In this paper, we extend this work to the massive gravity and investigate thermodynamic extremality relations in a topologically higher-dimensional black hole. A rescaled cosmological constant is added to the action of the massive gravity as a perturbative correction. This correction modifies the extremality bound of the black hole and leads to the shifts of the mass, entropy, etc. The Goon-Penco relation is gotten. Regarding the cosmological constant as a variable related to pressure, we get the thermodynamic extremality relations between the mass and pressure, charge, parameters $c_i$ by accurate calculations, respectively. Finally, these relations are verified by a triple product identity, which shows that the universal relation exists in black holes.
