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Quantum Hǒrava-Lifshitz cosmology in the de Broglie–Bohm interpretation

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Classical and quantum Friedmann–Lemâıtre–Robertson–Walker universes filled with noninteracting radiation and dust fluids are considered in the framework of Hořava–Lifshitz gravity theory. The Hořava–Lifshitz theory is set in its projectable version… Click to show full abstract

Classical and quantum Friedmann–Lemâıtre–Robertson–Walker universes filled with noninteracting radiation and dust fluids are considered in the framework of Hořava–Lifshitz gravity theory. The Hořava–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 Hořava–Lifshitz theory.

Keywords: lifshitz; bohm interpretation; broglie bohm; cosmology; quantum

Journal Title: Physical Review D
Year Published: 2021

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