Phase transition and thermodynamic stability of topological black holes in Hořava-Lifshitz gravity

Abstract

On the basis of horizon thermodynamics, we study the thermodynamic stability and $P-V$ criticality of topological black holes constructed in Hořava-Lifshitz (HL) gravity without the detailed-balance condition (with general $\epsilon$). In the framework of horizon thermodynamics, we do not need the concrete black hole solution (the metric function) and the concrete matter fields. It is shown that the HL black hole for $k=0$ is always thermodynamically stable. For $k=1$, the thermodynamic behaviors and $P-V$ criticality of the HL black hole are similar to those of RN-AdS black hole for some $\epsilon$. For $k=-1$, the temperature is classified into six types by their different features. Among them, we mainly focus on the type with triply degenerate thermodynamic state. It is also shown that there is a "thermodynamic singularity" for the $k=-1$ HL black hole, where the temperature and Gibbs free energy both diverge apart from a special pressure $P_s$.

arXiv comment10 pages, 11 figures

References in corpus (26)

• Quantum Gravity at a Lifshitz Point
• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Enthalpy and the Mechanics of AdS Black Holes
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Solutions to Horava Gravity
• Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• 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
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes
• Thermodynamics of Reissner-Nordstrom-anti-de Sitter black holes in the grand canonical ensemble
• Horizon Thermodynamics and Gravitational Field Equations in Horava-Lifshitz Gravity
• On Horava-Lifshitz "Black Holes"
• Stability of black holes based on horizon thermodynamics
• Universality of P-V Criticality in Horizon Thermodynamics
• A unified phase transition picture of the charged topological black hole in Horava-Lifshitz gravity
• Thermodynamics of Lifshitz Black Holes
• Black hole phase transitions in Hořava-Lifshitz gravity

Cited by in corpus (16)

• Microstructure and continuous phase transition of RN-AdS black hole
• Higher order corrected thermodynamics and statistics of Kerr-Newman-Godel black hole
• Peculiar $P-V$ criticality of topological Hořava-Lifshitz black holes
• PV criticality of Achucarro-Ortiz black hole in the presence of higher order quantum and GUP corrections
• Continuous phase transition and microstructure of charged AdS black hole with quintessence
• Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity
• Photon orbits and phase transition for Non-Linear charged Anti-de Sitter black holes
• Phase transition and entropic force of de Sitter black hole in massive gravity
• Topology and phase transition for EPYM AdS black hole in thermal potential
• Dynamic Property of Phase Transition for Non-Linear Charged Anti-de Sitter black holes
• Topology of the charged AdS black hole in restricted phase space
• Phase transition of non-linear charged Anti-de Sitter black holes
• Reduced thermodynamics and an exact phase transition of five-dimensional Kerr-AdS black holes with equal spin parameters
• Quantum signatures from Horava-Lifshitz cosmography
• Entropy of higher-dimensional topological dS black holes with nonlinear source
• Revisit on the thermodynamic stability of Hořava-Lifshitz black hole