TL;DR
This paper explores the cosmological implications of Horava's Lifshitz gravity, finding vacuum solutions and bouncing cosmologies, but questions the inflationary spectrum under certain conditions.
Contribution
It provides a detailed analysis of Lifshitz scalar cosmology, including vacuum solutions and bouncing profiles, within Horava's non-relativistic gravity framework.
Findings
Existence of non-singular bouncing solutions
Qualitative agreement with Causal Dynamical Triangulations and Quantum Einstein Gravity
Potential issues with scale-invariance in Lifshitz scalar-driven inflation
Abstract
We study the ultraviolet complete non-relativistic theory recently proposed by Horava. After introducing a Lifshitz scalar for a general background, we analyze the cosmology of the model in Lorentzian and Euclidean signature. Vacuum solutions are found and it is argued the existence of non-singular bouncing profiles. We find a general qualitative agreement with both the picture of Causal Dynamical Triangulations and Quantum Einstein Gravity. However, inflation driven by a Lifshitz scalar field on a classical background might not produce a scale-invariant spectrum when the principle of detailed balance is assumed.
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