Overall observational constraints on the running parameter λof Horava-Lifshitz gravity

Abstract

We use observational data from Type Ia Supernovae (SNIa), Baryon Acoustic Oscillations (BAO), and Cosmic Microwave Background (CMB), along with requirements of Big Bang Nucleosynthesis (BBN), to constrain the running parameter $\lambda$ of Horava-Lifshitz gravity, which determines the flow between the Ultra-Violet and the Infra-Red. We consider both the detailed and non-detailed balance versions of the gravitational sector, and we include the matter and radiation sectors. Allowing for variation of all the parameters of the theory, we construct the likelihood contours and we conclude that in $1\sigma$ confidence $\lambda$ is restricted to $|\lambda -1|\lesssim 0.02$, while its best fit value is $|{\lambda }_{b.f}-1|\approx 0.002$. Although this observational analysis restricts the running parameter $\lambda$ very close to its IR value 1, it does not enlighten the discussion about the theory's possible conceptual and theoretical problems.

9 pages, 2 figures, version published at JCAP

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• General Covariance in Quantum Gravity at a Lifshitz Point
• Particle Motion around Black Hole in Horava-Lifshitz Gravity
• Oscillating Universe in Horava-Lifshitz Gravity
• Observational constraints on Myrzakulov gravity
• Energy Extraction and Particle Acceleration Around Rotating Black Hole in Horava-Lifshitz Gravity
• Big Bang nucleosynthesis with a stiff fluid
• Emergent universe in Horava-Lifshitz-like F(R) gravity
• Remarks on the consistency of minimal deviations from General Relativity
• A New Test of Dynamical Dark Energy Models and Cosmic Tensions in Hořava Gravity
• Lifshitz scalar, brick wall method, and GUP in Hořava-Lifshitz Gravity
• Surplus Angle and Sign-flipped Coulomb Force in Projectable Horava-Lifshitz Gravity
• Constraints on Flows in Horava-Lifshitz Gravity by Classical Solutions
• On the energy flow of $\lambda$ in Hořava-Lifshitz cosmology