Phase-space analysis of Horava-Lifshitz cosmology

TL;DR

This paper conducts a phase-space analysis of Horava-Lifshitz cosmology, revealing different late-time behaviors depending on the detailed-balance condition, including bouncing and dark-energy-dominated states.

Contribution

It provides a comprehensive phase-space analysis of Horava-Lifshitz cosmology, exploring the effects of the detailed-balance condition on the universe's evolution.

Findings

Universe can reach a bouncing-oscillatory state under detailed-balance.

Relaxing detailed-balance leads to an eternally expanding, dark-energy-dominated universe.

Oscillatory states have a small but non-zero probability.

Abstract

We perform a detailed phase-space analysis of Horava-Lifshitz cosmology, with and without the detailed-balance condition. Under detailed-balance we find that the universe can reach a bouncing-oscillatory state at late times, in which dark-energy, behaving as a simple cosmological constant, is dominant. In the case where the detailed-balance condition is relaxed, we find that the universe reaches an eternally expanding, dark-energy-dominated solution, with the oscillatory state preserving also a small probability. Although this analysis indicates that Horava-Lifshitz cosmology can be compatible with observations, it does not enlighten the discussion about its possible conceptual and theoretical problems.