Quantum Hořava-Lifshitz cosmology in the de Broglie-Bohm interpretation

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.