Thermodynamic extremality relations in massive gravity  

作　　者：Deyou Chen Jun Tao Peng Wang 陈德友;陶军;王鹏(School of Science,Xihua University,Chengdu 610039,China;Center for Theoretical Physics,College of Physics,Sichuan University,Chengdu 610064,China)

机构地区：[1]School of Science,Xihua University,Chengdu 610039,China [2]Center for Theoretical Physics,College of Physics,Sichuan University,Chengdu 610064,China

出　　处：《Chinese Physics C》2021年第2期606-611,共6页中国物理C（英文版）

基　　金：Supported by NSF C(11875196,11375121,11205125,11005016);Xihua University Talent Project(Z201021)。

摘　　要：A universal relation between the leading correction to the entropy and extremality was proposed in the work of Goon and Penco.In this paper,we extend this work to 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 shifts in the mass,entropy,etc.Regarding the cosmological constant as a variable related to pressure,we obtain the thermodynamic extremality relations between the mass and entropy,pressure,charge,and parameters ci by accurate calculations.Finally,these relations are verified by a triple product identity,which shows that the universal relation exists in black holes.

关 键 词：thermodynamic extremality relations massive gravity perturbative corrections 

分 类 号：P145.8[天文地球—天体物理]