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Thermodynamic extremality relations in the massive gravity
Chinese Physics C ( IF 3.6 ) Pub Date : 2021-02-01 , DOI: 10.1088/1674-1137/abcf21
Deyou Chen , Jun Tao , Peng Wang

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.

中文翻译:

大质量引力中的热力学极值关系

在 Goon 和 Penco 的工作中得到了对熵的领先修正和极值之间的普遍关系。在本文中,我们将这项工作扩展到大质量引力,并研究拓扑高维黑洞中的热力学极值关系。重新调整的宇宙常数被添加到大质量引力的作用中作为微扰校正。这种修正修正了黑洞的极值界,导致了质量、熵等的变化。得到了 Goon-Penco 关系。将宇宙常数作为与压力相关的变量,通过精确计算分别得到质量与压力、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身份验证,
更新日期:2021-02-01
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