Title of Paper:P-V criticality in the extended phase space of black holes in Einstein-Horndeski gravity

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Affiliation of Author(s):理学院

Journal:PHYSICAL REVIEW D

Key Words:THERMODYNAMICS LAW

Abstract:Gravity is believed to have a deep and inherent relation to thermodynamics. We study phase transitions and critical behaviors in the extended phase space of asymptotic anti-de Sitter black holes in Einstein-Horndeski gravity. We demonstrate that the black hole in Einstein-Horndeski gravity undergoes a phase transition and P - V criticality mimicking the van der Waals gas-liquid system. The key approach in our study is to introduce a more reasonable pressure instead of the previous pressure P = -Lambda/8 pi related to the cosmological constant Lambda, and this proper pressure is motivated by the asymptotical behavior of the black hole. Moreover, we also obtain P - V criticality in the two cases with Lambda = 0 and Lambda > 0 for the first time, which implies that the cosmological constant A may not be a necessary pressure candidate for black holes at the microscopic level. We present critical exponents for these phase transition processes.

ISSN No.:2470-0010

Translation or Not:no

Date of Publication:2019-10-02

Co-author:Zeng, Hong-An,Jiang, Zhi-Ming,Zhang, Hongsheng

Correspondence Author:胡亚鹏