The tension between the Hubble constant obtained from the local measurements and cosmic microwave background(CMB)measurements motivated us to consider the cosmological model beyond stander model based on ?CDM such as the large scale Lorentz violation model with non-vanishing spatial curvature.The degeneracy among spatial curvature,cosmological constant and cosmological contortion distribution makes the model viable in describing the known observation date.We got some constrains on the spatial curvature by the comparison of the relation between measured distance modulus and redshift with the expected one,evolution of matter density over time and evolution of effective cosmological constant.The performance of large scale Lorentz violation model with non-vanishing spatial curvature under these constrains is discussed. |