P-V criticality in the extended phase space of black holes in Einstein-Horndeski gravity
Dec 24, 2018
12 pages
Published in:
- Phys.Rev.D 100 (2019) 8, 084004
- Published: Oct 3, 2019
e-Print:
- 1812.09938 [gr-qc]
View in:
Citations per year
Abstract: (APS)
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.Note:
- 14 pages, 5 figures, two appendixes and more contents added, version accepted by PRD
- General relativity, alternative theories of gravity
- black hole: anti-de Sitter
- critical phenomena
- gravitation: model
- phase space
- Reissner-Nordstroem
- thermodynamics
- pressure
- gas: van der Waals
References(38)
Figures(5)
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