English

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

General Relativity and Quantum Cosmology 2021-12-15 v1

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.

Keywords

Cite

@article{arxiv.2111.11382,
  title  = {Quantum Ho\v{r}ava-Lifshitz cosmology in the de Broglie-Bohm interpretation},
  author = {G. S. Vicente},
  journal= {arXiv preprint arXiv:2111.11382},
  year   = {2021}
}