Thermodynamics of Hořava-Lifshitz black holes

Abstract

We study black holes in the Hořava-Lifshitz gravity with a parameter $\lambda$. For $1/3\le \lambda <3$, the black holes behave the Lifshitz black holes with dynamical exponent $0<z\le 4$, while for $\lambda >3$, the black holes behave the Reissner-Nordström type black hole in asymptotically flat spacetimes. Hence, these all are quite different from the Schwarzschild-AdS black hole of Einstein gravity. The temperature, mass, entropy, and heat capacity are derived for investigating thermodynamic properties of these black holes.

12 pages, 5 figures, v2:substantial improved version to make connection to Lifshitz black holes and Reissner-Norström type black holes,v3: version to appear in EPJC

References in corpus (32)

• Quantum Gravity at a Lifshitz Point
• Gravity Duals of Lifshitz-like Fixed Points
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Horava-Lifshitz Cosmology
• Solutions to Horava Gravity
• Matter Bounce in Horava-Lifshitz Cosmology
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Cosmology of the Lifshitz universe
• Topological Black Holes in Horava-Lifshitz Gravity
• Black holes in asymptotically Lifshitz spacetime
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
• Symmetry Breaking Using Value Precedence
• Lifshitz Black Hole in Three Dimensions
• Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
• An analytic Lifshitz black hole
• Field Theory at a Lifshitz Point
• On the z=4 Horava-Lifshitz Gravity
• A Lifshitz Black Hole in Four Dimensional R^2 Gravity
• Analytic Lifshitz black holes in higher dimensions
• Primordial Perturbation in Horava-Lifshitz Cosmology
• Correlation Functions in Non-Relativistic Holography
• Thermodynamics of black branes in asymptotically Lifshitz spacetimes
• Dyonic solution of Horava-Lifshitz Gravity
• On IR solutions in Horava gravity theories
• Primordial perturbations and non-Gaussianities in Hořava-Lifshitz gravity
• Branes at Quantum Criticality
• z=3 Lifshitz-Horava model and Fermi-point scenario of emergent gravity
• No Hawking-Page phase transition in three dimensions
• Phase transition between the BTZ black hole and AdS space
• Quasinormal modes from potentials surrounding the charged dilaton black hole
• A Note on Quasi-Riemannian Gravity with Higher Derivatives

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• Interacting Dark Energy in Hořava-Lifshitz Cosmology
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• The cosmological constant as an eigenvalue of the Hamiltonian constraint in Horava-Lifshits theory
• A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time
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• Toroidal solutions in Horava Gravity
• Thermodynamic phase transition based on the non-singular temperature
• The Rotating Black Hole in Renormalizable Quantum Gravity: The Three-Dimensional Hořava Gravity Case
• Horava-Lifshitz early universe phase transition beyond detailed balance
• New black hole solutions in three-dimensional $f(R)$ gravity
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• Gauge-Higgs Unification in Lifshitz Type Gauge Theory
• Black Holes in Hořava Gravity with Higher Derivative Magnetic Terms
• Complete Classification of Four-Dimensional Black Hole and Membrane Solutions in IR-modified Hořava Gravity
• Logarithmic Corrections in Black Hole Entropy Product Formula
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• Self-gravitational Interaction in z = 4 Horava-Lifshitz Gravity
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