Resolution of Cosmological Singularity in Hořava–Lifshitz Cosmology

The standard $\Lambda$CDM model despite its agreement with observational data still has some issues unaddressed, lie the problem of initial singularity. Solving that usually requires modifications general relativity. However, there appeared Ho\v{r}ava-Lifshitz (HL) theory gravity, in which equations governing cosmological evolution include a new term scaling similarly as dark radiation Friedmann equations, enabling bounce universe instead This review describes past works on stability such different formulations HL theory, detailed balance scenario and further projectable versions containing higher than quadratic to original action.