  Inspired by Lifshitz theory for quantum critical phenomena in condensed
matter, Horava proposed a theory for quantum gravity with an anisotropic
scaling in ultraviolet. In Horava-Lifshitz gravity (HLG), we have studied the
impacts of six types of equations of state on the evolution of various
cosmological parameters such as Hubble parameters and scale factor. From the
comparison of the general relativity gravity with the HLG with detailed and
without with non-detailed balance conditions, remarkable differences are found.
Also, a noticeable dependence of singular and non-singular Big Bang on the
equations of state is observed. We conclude that HLG explains various epochs in
the early universe and might be able to reproduce the entire cosmic history
with and without singular Big Bang.
