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

References in corpus (8)

• Horava-Lifshitz Cosmology
• Solutions to Horava Gravity
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Note on New Massive Gravity in $Ad{S}_3$
• On IR solutions in Horava gravity theories
• On the Generalized Massive Gravity in $Ad{S}_3$
• Renormalizability of Massive Gravity in Three Dimensions
• Massive Gravity with Mass Term in Three Dimensions

Cited by in corpus (14)

• Strong coupling in Horava gravity
• More on Massive 3D Gravity
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
• Towards constraining of the Horava-Lifshitz gravities
• Testing Hořava-Lifshitz gravity using thin accretion disk properties
• Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity
• Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity
• Caustic avoidance in Horava-Lifshitz gravity
• Anisotropic Cosmology and (Super)Stiff Matter in Hořava's Gravity Theory
• Generalized uncertainty principle and Hořava-Lifshitz gravity
• Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point
• Renormalizability of Topologically Massive Gravity