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P − V criticality in the extended phase space of black holes in Einstein-Horndeski gravity

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...

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Bibliographic Details
Published in:Physical review. D 2019-10, Vol.100 (8), Article 084004
Main Authors: Hu, Ya-Peng, Zeng, Hong-An, Jiang, Zhi-Ming, Zhang, Hongsheng
Format: Article
Language:English
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Summary: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=−Λ/8π related to the cosmological constant Λ, 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 Λ=0 and Λ>0 for the first time, which implies that the cosmological constant Λ may not be a necessary pressure candidate for black holes at the microscopic level. We present critical exponents for these phase transition processes.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.100.084004