Peculiar $P-V$ criticality of topological Hořava-Lifshitz black holes

Abstract

We demonstrate the existence of $P-V$ criticality of the topological Hořava-Lifshitz(HL) black holes with a spherical horizon $(k=1)$ in the extended phase space. With the electric charge, we find that the critical behaviors of the HL black hole are nearly the same as those of van der Waals(VdW) system. For the uncharged case, the HL black hole has a peculiar $P-V$ criticality. The critical behavior is completely controlled by a parameter $\epsilon$, but not the temperature $T$. When $\epsilon$ is larger than a critical value ${\epsilon }_c$, no matter what the temperature is, there will be the first-order phase transition. Moreover, we find that there is an infinite number of critical points which form a "critical curve". As far as we know, this is the first time to find this kind of peculiar $P-V$ criticality.

arXiv comment16 pages, 8 figures. some typos are corrected. a note is added at the last of the paper

References in corpus (51)

• Quantum Gravity at a Lifshitz Point
• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Pressure and volume in the first law of black hole thermodynamics
• Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
• Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories
• Reentrant Phase Transitions in Rotating AdS Black Holes
• P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Strong coupling in Horava gravity
• Solutions to Horava Gravity
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Phenomenologically viable Lorentz-violating quantum gravity
• Cosmology of the Lifshitz universe
• Topological Black Holes in Horava-Lifshitz Gravity
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• Superfluid Black Holes
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
• Thermodynamic Stability and Phases of General Spinning Branes
• Thermodynamics of Reissner-Nordstrom-anti-de Sitter black holes in the grand canonical ensemble
• P-V Criticality of Topological Black Holes in Lovelock-Born-Infeld Gravity
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Isolated critical point from Lovelock gravity
• Thermodynamics of black holes in the deformed Hořava-Lifshitz gravity
• Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole
• Geometrothermodynamics of asymptotically anti - de Sitter black holes
• Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Phase Transitions and Critical Behavior for Charged Black Holes
• $P-V$ criticality of AdS black hole in $f(R)$ gravity
• On Horava-Lifshitz "Black Holes"
• Detailed balance in Horava-Lifshitz gravity
• Thermodynamical Metrics and Black Hole Phase Transitions
• Thermodynamic Geometry and Phase Transitions in Kerr-Newman-AdS Black Holes
• Thermodynamics of hairy black holes in Lovelock gravity
• Stability of black holes based on horizon thermodynamics
• Charged Black Hole in a Canonical Ensemble
• A unified phase transition picture of the charged topological black hole in Horava-Lifshitz gravity
• Thermodynamics of Lifshitz Black Holes
• Hairy black holes in cubic quasi-topological gravity
• Phase Transitions in Higher Derivative Gravity
• Black hole phase transitions in Hořava-Lifshitz gravity
• Continuous phase transition and critical behaviors of 3D black hole with torsion
• No Hawking-Page phase transition in three dimensions
• Phase transition and scaling behavior of topological charged black holes in Horava-Lifshitz gravity
• Phase transition and entropy spectrum of BTZ black hole in three-dimensional gravity with torsion
• Phase transition and thermodynamic stability of topological black holes in Hořava-Lifshitz gravity
• Phase Transition and Clapeyon Equation of Black Hole in Higher Dimensional AdS Spacetime
• On the Hawking-Page Transition and the Cardy-Verlinde formula
• Critical behaviors of black hole in an asymptotically safe gravity with cosmological constant

Cited by in corpus (28)

• Joule-Thomson expansion of charged Gauss-Bonnet black holes in AdS space
• Novel nonlinear electrodynamics black hole and related phenomena in the extended thermodynamics
• Microstructure and continuous phase transition of RN-AdS black hole
• PV criticality of Achucarro-Ortiz black hole in the presence of higher order quantum and GUP corrections
• Thermodynamic Topology of $D=4,5$ Horava Lifshitz Black Hole in Two Ensembles
• Continuous phase transition and microstructure of charged AdS black hole with quintessence
• Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity
• Black Hole Enthalpy and Scalar Fields
• Geometrical thermodynamics and P-V criticality of charged accelerating AdS black holes
• $P-v$ criticality of a specific black hole in $f(R)$ gravity coupled with Yang-Mills field
• Effects of quantum corrections on the criticality and efficiency of black holes surrounded by a perfect fluid
• Phase transition and entropic force of de Sitter black hole in massive gravity
• Central charge criticality of charged AdS black hole surrounded by different fluids
• Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity
• Thermodynamics of de Sitter black hole in massive gravity
• Dynamic Property of Phase Transition for Non-Linear Charged Anti-de Sitter black holes
• The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
• Thermodynamics of $z=4$ Hořava-Lifshitz black holes
• Phase transition of non-linear charged Anti-de Sitter black holes
• Entropy of higher-dimensional charged de Sitter black holes and phase transition
• Fractional-order phase transition of charged AdS black holes
• Entropy of higher-dimensional topological dS black holes with nonlinear source
• The extended phase space thermodynamics of Planck-scale-corrected Reissner-Nordström-anti-de Sitter black hole
• Structure and thermodynamics of charged nonrotating black holes in higher dimensions
• $\lambda$ phase transition in Horava gravity
• Phase Transition of the Horava-Lifshitz AdS black holes
• Revisit on the thermodynamic stability of Hořava-Lifshitz black hole
• Fractional phase transitions of RN-AdS black hole at Davies points