A note on Friedmann equation of FRW universe in deformed Horava-Lifshitz gravity from entropic force

Abstract

With entropic interpretation of gravity proposed by Verlinde, we obtain the Friedmann equation of the Friedmann-Robertson-Walker universe for the deformed Hořava-Lifshitz gravity. It is shown that, when the parameter of Hořava-Lifshitz gravity $\omega \to \infty$, the modified Friedmann equation will go back to the one in Einstein gravity. This results may imply that the entropic interpretation of gravity is effective for the deformed Hořava-Lifshitz gravity.

9 pages, no figures

References in corpus (49)

• Quantum Gravity at a Lifshitz Point
• On the Origin of Gravity and the Laws of Newton
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Solutions to Horava Gravity
• Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
• Hawking Radiation of Apparent Horizon in a FRW Universe
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Friedmann Equations and Thermodynamics of Apparent Horizons
• Friedmann Equations from Entropic Force
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• Horizon Thermodynamics and Gravitational Field Equations in Horava-Lifshitz Gravity
• Perturbative instabilities in Horava gravity
• Surface Density of Spacetime Degrees of Freedom from Equipartition Law in theories of Gravity
• On the z=4 Horava-Lifshitz Gravity
• Non-singular cosmology in a model of non-relativistic gravity
• Hawking radiation and black hole spectroscopy in Horava-Lifshitz gravity
• Phase-space analysis of Horava-Lifshitz cosmology
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Quantum UV/IR Relations and Holographic Dark Energy from Entropic Force
• Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity
• Analytic Lifshitz black holes in higher dimensions
• On Horava-Lifshitz "Black Holes"
• Thermodynamics of Apparent Horizon in Brane World Scenarios
• Modified Entropic Force
• Dyonic solution of Horava-Lifshitz Gravity
• Spherically symmetric solutions in modified Horava-Lifshitz gravity
• Scalar field perturbations in Horava-Lifshitz cosmology
• Coulomb Force as an Entropic Force
• Holographic actions from black hole entropy
• Entropy of black holes in the deformed Hořava-Lifshitz gravity
• Hawking radiation of black holes in the $z=4$ Horava-Lifshitz gravity
• Equipartition of energy and the first law of thermodynamics at the apparent horizon
• Singularities in Horava-Lifshitz theory
• Static Spherically Symmetric Solutions to modified Horava-Lifshitz Gravity with Projectability Condition
• Extremal black holes in the Hořava-Lifshitz gravity
• Generalized uncertainty principle and Hořava-Lifshitz gravity
• First laws of thermodynamics in IR Modified Hǒrava-Lifshitz gravity
• Plane symmetric solutions in Horava-Lifshitz theory
• Modified gravity emerging from thermodynamics and holographic principle
• General static spherically symmetric solutions in Horava gravity
• Clausius relation and Friedmann equation in FRW universe model
• Generalized uncertainty principle, quantum gravity and Hořava-Lifshitz gravity
• ADM mass and quasilocal energy of black hole in the deformed Hořava-Lifshitz gravity
• Dynamical evolution of scalar perturbation in Hořava-Lifshitz black-hole spacetimes
• Boundary stress tensors for spherically symmetric conformal Rindler observers
• Cardy-Verlinde formula of Kehagias-Sfetsos black hole

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• Effects of Cosmological Constant on Clustering of Galaxies
• Thermodynamic Geometry of black hole in the deformed Horava-Lifshitz gravity
• Observational constraints on Tsallis modified gravity
• Approach to exact inflation in modified Friedmann equation
• Entropic Corrections to Coulomb's Law
• Lovelock gravity from entropic force
• 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
• Einstein Equations and MOND Theory from Debye Entropic Gravity
• Thermodynamical description of the ghost dark energy model
• Modified Friedmann Equations From Debye Entropic Gravity
• MOND cosmology from entropic force
• Apparent dark matter as a non-local manifestation of emergent gravity
• Holographic Dark Energy and Quantum Entanglement
• Deformed Horava-Lifshitz Cosmology and Stability of Einstein Static Universe
• Quantization of Black Holes
• Minimal-supersymmetric extended inflation field in Horava-Lifshitz gravity
• Gravity as Quantum Entanglement Force
• Horava-Lifshitz cosmology, entropic interpretation and quark-hadron phase transition
• Observational Constraints on the Parameters of Hořava-Lifshitz Gravity