On the z=4 Horava-Lifshitz Gravity

Abstract

We consider z=4 Horava-Lifshitz gravity in both 3+1 and 4+1 dimensions. We find black hole solutions in the IR region for a kind of z=4 Horava-Lifshitz gravity which is inherited from the new massive gravity in three dimensions and an analog of the new massive gravity in four dimensions through the quantum inheritance principle. We analyze thermodynamic properties for the black hole solutions for z=4 Horava-Lifshitz gravity. We also write out the Friedmann equation in 3+1 dimensions for cosmological solutions.

v3, reference added, version published in JHEP

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• Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity
• Caustic avoidance in Horava-Lifshitz gravity
• The generalized second law of thermodynamics in Horava-Lifshitz cosmology
• Particle Motion around Black Hole in Horava-Lifshitz Gravity
• Shadows and rings of the Kehagias-Sfetsos black hole surrounded by thin disk accretion
• Towards thermodynamics of universal horizons in Einstein-æther theory
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• Anisotropic Cosmology and (Super)Stiff Matter in Hořava's Gravity Theory
• Generalized uncertainty principle and Hořava-Lifshitz gravity
• Slowly rotating black holes in the Horava-Lifshitz gravity
• Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point
• Anisotropic Weyl symmetry and cosmology
• Born-Infeld-Horava gravity
• Thermodynamics of the apparent horizon in infrared modified Horava-Lifshitz gravity
• Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
• Solar system constraints on asymptotically flat IR modified Horava gravity through light deflection
• Homogeneous vacua of (generalized) new massive gravity
• Lifshitz scalar, brick wall method, and GUP in Hořava-Lifshitz Gravity
• Scalar graviton in the healthy extension of Hořava-Lifshitz theory
• Fermions Analysis of IR modified Horava-Lifshitz gravity: Tunneling and Perturbation Perspectives
• Thermodynamics of $z=4$ Hořava-Lifshitz black holes
• Black Holes in Hořava Gravity with Higher Derivative Magnetic Terms
• Renormalizability of Topologically Massive Gravity
• Analytical expressions for greybody factor and dynamic evolution for scalar field in Hořava-Lifshitz black hole
• Spherical Symmetric Solutions in Hořava-Lifshitz Gravity and their Properties
• Constraining the Detailed Balance Condition in Horava Gravity with Cosmic Accelerating Expansion
• Solutions in IR modified Horava-Lifshitz Gravity
• Spatially homogeneous black hole solutions in $z=4$ Hořava-Lifshitz gravity in $(4+1)$ dimensions with Nil geometry and $H^2\times R$ horizons
• Scalar Clouds and Quasinormal Modes