Tawfik, A.Abou El Dahab, E.2019-12-052019-12-052017Cited References in Web of Science Core Collection: 580020-7748https://doi.org/10.1007/s10773-017-3355-1https://link.springer.com/article/10.1007/s10773-017-3355-1Accession Number: WOS:000405095100007Inspired 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.enUniversity of Quantum gravity; Modified theory of gravity; Early universeQUANTUM-GRAVITY; BLACK-HOLE; MINIMAL LENGTH; RAINBOWArticlehttps://doi.org/10.1007/s10773-017-3355-1