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

Abstract

Gravity is believed to have deep and inherent relation to thermodynamics. We study phase transition and critical behavior in the extended phase space of asymptotic anti de-Sitter (AdS) black holes in Einstein-Horndeski gravity. We demonstrate that the black hole in Einstein-Horndeski gravity undergo 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 previous pressure $P=-\Lambda /8\pi$ related to cosmological constant $\Lambda$, and this proper pressure is given insight from the asymptotical behaviour of this black hole. Moreover, we also first obtain P-V criticality in the two cases with $\Lambda =0$ and $\Lambda >0$ in our paper, which implicates that the cosmological constant $\Lambda$ may be not a necessary pressure candidate for black holes at the microscopic level. We present critical exponents for these phase transition processes.

arXiv comment14 pages, 5 figures, two appendixes and more contents added, version accepted by PRD

References in corpus (28)

• P-V criticality of charged AdS black holes
• Enthalpy and the Mechanics of AdS Black Holes
• From k-essence to generalised Galileons
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Reentrant Phase Transitions in Rotating AdS Black Holes
• P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• P-V criticality in the extended phase space of black holes in massive gravity
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Asymptotically locally AdS and flat black holes in Horndeski theory
• Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields
• Unifying framework for scalar-tensor theories of gravity
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes
• Solutions in the scalar-tensor theory with nonminimal derivative coupling
• Hamiltonian analysis of spatially covariant gravity
• P-V criticality of AdS black holes in a general framework
• Van der Waals criticality in AdS black holes: a phenomenological study
• Thermogeometric description of the van der Waals like phase transition in AdS black holes
• Thermodynamics of Charged Black Holes in Einstein-Horndeski-Maxwell Theory
• Criticality and extended phase space thermodynamics of AdS black holes in higher curvature massive gravity
• Parametric phase transition for Gauss-Bonnet AdS black hole
• Thermodynamics of Horndeski black holes with non-minimal derivative coupling
• The effects of massive graviton on the equilibrium between the black hole and radiation gas in an isolated box

Cited by in corpus (15)

• Investigating shadow images and rings of the charged Horndeski black hole illuminated by various thin accretions
• On Black Hole Temperature in Horndeski Gravity
• The P-V Phase Transition of the FRW Universe
• Thermodynamics and weak cosmic censorship conjecture in the Kerr-AdS black hole
• First Principle Study of Gravitational Pressure and Thermodynamics of FRW Universe
• Divergence Behavior of Thermodynamic Curvature Scalar at Critical Point in the Extended Phase Space of Generic Black Holes
• Phase Transitions and Critical Phenomena for the FRW Universe in an Effective Scalar-Tensor Theory
• The Hawking-Page-like Phase Transition from FRW Spacetime to McVittie Black Hole
• Insight into the Microstructure of FRW Universe from a $P$-$V$ Phase Transition
• Nonlinearly Charged Black Hole Chemistry with Massive Gravitons in the Grand Canonical Ensemble
• Equation of State and Joule-Thomson Expansion for the FRW Universe in the Brane World Scenario
• Einstein-Horndeski gravity and the ultra slowly evaporating black hole
• Phantom BTZ black holes
• Cooling-Heating Properties of the FRW Universe in Gravity with a Generalized Conformal Scalar Field
• Black Hole Zeroth Law in Horndeski Gravity