Horava Gravity and Gravitons at a Conformal Point

Abstract

Recently Horava proposed a renormalizable gravity theory with higher derivatives by abandoning the Lorenz invariance in UV. Here, I study the Horava model at $\lambda =1/3$, where an anisotropic Weyl symmetry exists in the UV limit, in addition to the foliation-preserving diffeomorphism. By considering linear perturbations around Minkowski vacuum, I show that the scalar graviton mode is completely disappeared and only the usual tensor graviton modes remain in the physical spectrum. The existence of the UV conformal symmetry is unique to the theory with the detailed balance and it is quite probable that $\lambda =1/3$ be the UV fixed point. This situation is analogous to $\lambda =1$, which is Lorentz invariant in the IR limit and is believed to be the IR fixed point.

Added comments and references, Accepted in GERG

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Cited by in corpus (8)

• Quantization of the Horava theory at the kinetic-conformal point
• Non-perturbative analysis of the constraints and the positivity of the energy of the complete Horava theory
• Wormholes and naked singularities in the complete Horava theory
• Wormholes in Horava gravity with cosmological constant
• The Hamiltonian Dynamics of Horava Gravity
• On Birkhoff's Theorem in Horava Gravity
• Dynamics of the anisotropic conformal Horava theory versus its kinetic-conformal formulation
• Quantization of the anisotropic conformal Horava theory