Oscillating Universe in Horava-Lifshitz Gravity

Abstract

We study the dynamics of isotropic and homogeneous universes in the generalized Hořava-Lifshitz gravity, and classify all possible evolutions of vacuum spacetime. In the case without the detailed balance condition, we find a variety of phase structures of vacuum spacetimes depending on the coupling constants as well as the spatial curvature $K$ and a cosmological constant $\Lambda$. A bounce universe solution is obtained for $\Lambda >0,K=\pm 1$ or $\Lambda =0,K=-1$, while an oscillation spacetime is found for $\Lambda \ge 0,K=1$, or $\Lambda <0,K=\pm 1$. We also propose a quantum tunneling scenario from an oscillating spacetime to an inflationary universe, resulting in a macroscopic cyclic universe.

13 pages, 10 figures, 1 table

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• Effective potentials in the Lifshitz scalar field theory
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• Hubble tension problem encompassed by phase-space quantum cosmology