Some cosmological aspects of Hoˇrava-Lifshitz gravity: integrable and nonintegrable models

Abstract

In this work, some new integrable and nonintegrable cosmological models of the Hoˇrava- Lifshitz gravity are proposed. For some of them, exact solutions are presented. Then these results extend for the F(R) Hoˇrava-Lifshitz gravity theory case. In particular, several inte- grable cosmological models of this modified gravity theory were constructed in the explicit form.