Phase transition and scaling behavior of topological charged black holes in Horava-Lifshitz gravity

Abstract

Gravity can be thought as an emergent phenomenon and it has a nice "thermodynamic" structure. In this context, it is then possible to study the thermodynamics without knowing the details of the underlying microscopic degrees of freedom. Here, based on the ordinary thermodynamics, we investigate the phase transition of the static, spherically symmetric charged black hole solution with arbitrary scalar curvature $2k$ in Hořava-Lifshitz gravity at the Lifshitz point $z=3$. The analysis is done using the canonical ensemble frame work; i.e. the charge is kept fixed. We find (a) for both $k=0$ and $k=1$, there is no phase transition, (b) while $k=-1$ case exhibits the second order phase transition within the {\it physical region} of the black hole. The critical point of second order phase transition is obtained by the divergence of the heat capacity at constant charge. Near the critical point, we find the various critical exponents. It is also observed that they satisfy the usual thermodynamic scaling laws.

arXiv commentMinor corrections, refs. added, to appear in Class. Quant. Grav. arXiv admin note: text overlap with arXiv:1111.0973 by other authors

References in corpus (50)

• Quantum Gravity at a Lifshitz Point
• Charged AdS Black Holes and Catastrophic Holography
• Gauss-Bonnet Black Holes in AdS Spaces
• Thermodynamical Aspects of Gravity: New insights
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
• Topological Black Holes in Anti-de Sitter Space
• Horava-Lifshitz Cosmology
• Dark Energy and Gravity
• Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Lorentz symmetry breaking as a quantum field theory regulator
• Topological Black Holes in Horava-Lifshitz Gravity
• Born-Infeld Black Holes in (A)dS Spaces
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
• Anti-de Sitter Black Hole Thermodynamics in Higher Derivative Gravity and New Confining-Deconfining Phases in dual CFT
• Entropy of Null Surfaces and Dynamics of Spacetime
• New type of phase transition in Reissner Nordström - AdS black hole and its thermodynamic geometry
• Surface Density of Spacetime Degrees of Freedom from Equipartition Law in theories of Gravity
• Thermodynamics of black holes in the deformed Hořava-Lifshitz gravity
• Hawking radiation and black hole spectroscopy in Horava-Lifshitz gravity
• Critical phenomena in Born-Infeld AdS black holes
• Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Holography of Gravitational Action Functionals
• Critical behavior of Born Infeld AdS black holes in higher dimensions
• Thermodynamics of Born-Infeld-anti-de Sitter black holes in the grand canonical ensemble
• Lessons from Classical Gravity about the Quantum Structure of Spacetime
• Thermodynamics of Hořava-Lifshitz black holes
• Phase Transitions and Critical Behavior for Charged Black Holes
• Entropy density of spacetime and the Navier-Stokes fluid dynamics of null surfaces
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• Ricci Flat Black Holes and Hawking-Page Phase Transition in Gauss-Bonnet Gravity and Dilaton Gravity
• Thermodynamic structure of Lanczos-Lovelock field equations from near-horizon symmetries
• The Emergence of an Effective two - dimensional Quantum Description from the study of Critical Phenomena in Black Holes
• Holographic Gravity and the Surface term in the Einstein-Hilbert Action
• Glassy Phase Transition and Stability in Black Holes
• Thermodynamics and Stability of Higher Dimensional Rotating (Kerr) AdS Black Holes
• Thermodynamics and Stability of Hyperbolic Charged Black Holes
• Dynamic critical phenomena in the AdS/CFT duality
• Holography in Action
• The Fourth Law of Black Hole Thermodynamics
• Static Spherically Symmetric Solutions to modified Horava-Lifshitz Gravity with Projectability Condition
• No Hawking-Page phase transition in three dimensions
• Phase transition between the BTZ black hole and AdS space
• Dynamical perturbations and critical phenomena in Gauss-Bonnet-AdS black holes
• A Physical Interpretation of Gravitational Field Equations
• Phase transition between non-extremal and extremal Reissner-Nordström black holes
• Critical behavior for the dilaton black holes
• Some Thermodynamic Aspects of Black Holes and Singularities

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