Entropy of black holes in the deformed Hořava-Lifshitz gravity

Abstract

We find the entropy of Kehagias-Sfetsos black hole in the deformed Hořava-Lifshitz gravity by using the first law of thermodynamics. When applying generalized uncertainty principle (GUP) to Schwarzschild black hole, the entropy $S=A/4+(\pi /\omega )\ln (A/4)$ may be interpreted as the GUP-inspired black hole entropy. Hence, it implies that the duality in the entropy between the Kehagias-Sfetsos black hole and GUP-inspired Schwarzschild black hole is present.

11 pages, version to appear in PLB

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• Scalar field perturbations in Horava-Lifshitz cosmology
• Black holes and stars in Horava-Lifshitz theory with projectability condition
• A unified phase transition picture of the charged topological black hole in Horava-Lifshitz gravity
• Particle Kinematics in Horava-Lifshitz Gravity
• Black hole phase transitions in Hořava-Lifshitz gravity
• A note on Friedmann equation of FRW universe in deformed Horava-Lifshitz gravity from entropic force
• Extremal black holes in the Hořava-Lifshitz gravity
• Surplus Solid Angle as an Imprint of Horava-Lifshitz Gravity
• First laws of thermodynamics in IR Modified Hǒrava-Lifshitz gravity
• Free particle wavefunction in light of the minimum-length deformed quantum mechanics and some of its phenomenological implications
• Notes on Matter in Horava-Lifshitz Gravity
• Thermodynamics and Thermodynamic geometry of Park black hole
• Thermodynamic Geometry of black hole in the deformed Horava-Lifshitz gravity
• Slowly rotating black holes in the Horava-Lifshitz gravity
• Geometrothermodynamics of the Kehagias-Sfetsos Black Hole
• General static spherically symmetric solutions in Horava gravity
• Chiral gravitational waves from z=2 Hořava-Lifshitz gravity
• Thermodynamics of the apparent horizon in infrared modified Horava-Lifshitz gravity
• Emergence of spaces and the dynamic equations of FRW universes in the $f(R)$ theory and deformed Hořava-Lifshitz theory
• Generalized uncertainty principle, quantum gravity and Hořava-Lifshitz gravity
• ADM mass and quasilocal energy of black hole in the deformed Hořava-Lifshitz gravity
• Lifshitz black holes in the Hořava-Lifshitz gravity
• Emergence of space and the general dynamic equation of Friedmann-Robertson-Walker universe
• Smooth cosmological phase transition in the Horava-Lifshitz gravity
• Scalar graviton in the healthy extension of Hořava-Lifshitz theory
• Four dimensional string solutions in Hořava-Lifshitz gravity
• Traversable wormhole in the deformed Hořava-Lifshitz gravity
• Logarithmic Entropy of Kehagias-Sfetsos black hole with Self-gravitation in Asymptotically Flat IR Modified Horava Gravity
• A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time
• Fermions Analysis of IR modified Horava-Lifshitz gravity: Tunneling and Perturbation Perspectives
• Local thermodynamics of KS black hole
• Black Holes in Hořava Gravity with Higher Derivative Magnetic Terms
• Logarithmic entropy of black hole in gravity with conformal anomaly from quantum tunneling approach
• Self-gravitational Interaction in z = 4 Horava-Lifshitz Gravity
• Spherical Symmetric Solutions in Hořava-Lifshitz Gravity and their Properties
• Solutions in IR modified Horava-Lifshitz Gravity
• Area spectrum and thermodynamics of KS black holes in Hořava gravity
• Condensation for non-relativistic matter in Hořava-Lifshitz gravity
• Holographic Superconductors in $z=3$ Hořava-Lifshitz gravity without condition of detailed balance
• Surplus Angle and Sign-flipped Coulomb Force in Projectable Horava-Lifshitz Gravity
• A general thermodynamical description of the event horizon in the FRW universe
• Spatially homogeneous black hole solutions in $z=4$ Hořava-Lifshitz gravity in $(4+1)$ dimensions with Nil geometry and $H^2\times R$ horizons
• Thermodynamics and Quasinormal modes of Park black hole in Hořava gravity
• The absence of the Kerr black hole in the Hořava-Lifshitz gravity