Horava-Lifshitz Holography

Abstract

We derive the detailed balance condition as a solution to the Hamilton-Jacobi equation in the Horava-Lifshitz gravity. This result leads us to propose the existence of the d-dimensional quantum field theory on the future boundary of the (d+1)-dimensional Horava-Lifshitz gravity from the viewpoint of the holographic renormalization group. We also obtain a Ricci flow equation of the boundary theory as the holographic RG flow, which is the Hamilton equation in the bulk gravity, by tuning parameters in the theory.

7 pages

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Cited by in corpus (45)

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• Parameterized Post-Einsteinian Gravitational Waveforms in Various Modified Theories of Gravity
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• The generalized second law of thermodynamics in Horava-Lifshitz cosmology
• Solar system tests of Hořava-Lifshitz gravity
• Emergent universe from the Hořava-Lifshitz gravity
• Holographic dark energy with varying gravitational constant in Horava-Lifshitz cosmology
• Scalar field perturbations in Horava-Lifshitz cosmology
• Quasinormal modes of a black hole in the deformed Hořava-Lifshitz gravity
• A Test of Horava Gravity: The Dark Energy
• Thin accretion disk signatures of slowly rotating black holes in Hořava gravity
• Stability of the Einstein static universe in IR modified Hořava gravity
• Black holes and stars in Horava-Lifshitz theory with projectability condition
• Projected Constraints on Lorentz-Violating Gravity with Gravitational Waves
• Stellar center is dynamical in Horava-Lifshitz gravity
• A reconstruction of modified holographic Ricci dark energy in $f(R,T)$ gravity
• Extremal black holes in the Hořava-Lifshitz gravity
• Plane symmetric solutions in Horava-Lifshitz theory
• Bulk viscous cosmological model in $f(R,T)$ theory of gravity
• Propagations of massive graviton in the deformed Hořava-Lifshitz gravity
• Observational constraints on Horava-Lifshitz cosmology
• Chiral gravitational waves from z=2 Hořava-Lifshitz gravity
• Horava-Lifshitz cosmology with generalized Chaplygin gas
• Dynamical evolution of scalar perturbation in Hořava-Lifshitz black-hole spacetimes
• Stability of Horava-Lifshitz Black Holes in the Context of AdS/CFT
• Overall observational constraints on the running parameter λof Horava-Lifshitz gravity
• Particle Probe of Horava-Lifshitz Gravity
• On Geodesic Motion in Horava-Lifshitz Gravity
• The cosmological constant as an eigenvalue of the Hamiltonian constraint in Horava-Lifshits theory
• Fermions Analysis of IR modified Horava-Lifshitz gravity: Tunneling and Perturbation Perspectives
• Toroidal solutions in Horava Gravity
• Gauge-Higgs Unification in Lifshitz Type Gauge Theory
• Scale Invariance from Modified Dispersion Relations
• Dilaton Dark Energy Model in f(R), f(T) and Horava-Lifshitz Gravities
• Complete Classification of Four-Dimensional Black Hole and Membrane Solutions in IR-modified Hořava Gravity
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• Analytical expressions for greybody factor and dynamic evolution for scalar field in Hořava-Lifshitz black hole
• Constraining the Detailed Balance Condition in Horava Gravity with Cosmic Accelerating Expansion
• Condensation for non-relativistic matter in Hořava-Lifshitz gravity
• Constructing Lifshitz spaces using the Ricci flow
• Surplus Angle and Sign-flipped Coulomb Force in Projectable Horava-Lifshitz Gravity
• Causal cosmology with braneworld gravity including Gauss Bonnet coupling
• Study of Thermodynamic Quantities in Generalized Gravity Theories
• The Higgs mechanism and geometrical flows for two-manifolds