Quantum Ho\v{r}ava-Lifshitz cosmology in the de Broglie-Bohm interpretation

TL;DR

This paper explores quantum cosmology within Hořava-Lifshitz gravity, providing analytical solutions for non-singular bouncing and cyclic universes using the de Broglie-Bohm interpretation.

Contribution

It introduces a canonical quantization approach in Hořava-Lifshitz gravity without detailed balance, yielding explicit quantum solutions for cosmological models.

Findings

Analytical solutions for quantum bounce scenarios.

Existence of cyclic universe models.

Solutions applicable to open and closed spatial geometries.

Abstract

Classical and quantum Friedmann-Lema\^itre-Robertson-Walker universes filled with non-interacting radiation and dust fluids are considered in the framework of Ho\v{r}ava-Lifshitz gravity theory. The Ho\v{r}ava-Lifshitz theory is set in its projectable version and without detailed balance condition. Canonical quantization is performed in the Wheeler-DeWitt approach of quantum cosmology for a minisuperspace model in the light of de Broglie-Bohm interpretation of quantum mechanics. The main results are analytical solutions for non-singular quantum bounce and cyclic universes for open and closed spatial sections in terms of the parameters of Ho\v{r}ava-Lifshitz theory.