Horava-Lifshitz gravity with $\lambda \to \infty$

Abstract

In the framework of the power-counting renormalizable theory of gravitation, recently proposed by Hořava, we study the limit $\lambda \to \infty$, which is arguably the most natural candidate for the ultraviolet fixed point of the renormalization group flow. In the projectable version with dynamical critical exponent $z=3$, we analyze the Friedmann-Robertson-Walker background driven by the so-called "dark matter as integration constant" and perturbations around it. We show that amplitudes of quantum fluctuations for both scalar and tensor gravitons remain finite in the limit and that the theory is weakly coupled under a certain condition.

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• A phase space description of the FLRW quantum cosmology in Ho$\check{\mathrm{r}}$ava-Lifshitz type gravity
• Asymptotic freedom in (3+1)-dimensional projectable Horava gravity: connecting ultraviolet to infrared
• On Hořava-Lifshitz Cosmology
• Gauss-Bonnet dark energy on Hořava-Lifshitz cosmology
• Hartle-Hawking No-boundary Proposal and Hořava-Lifshitz Gravity
• Considerations on the Graviton Excitation Modes of Horava-Lifshitz Gravity
• Perelman's Ricci Flow in Topological Quantum Gravity
• A No-Go Theorem for Rotating Stars of a Perfect Fluid without Radial Motion in Projectable Hořava--Lifshitz Gravity
• Holographic energy density on Hořava-Lifshitz cosmology
• On the energy flow of $\lambda$ in Hořava-Lifshitz cosmology