Reconstructed standard model of cosmology in the Earth-related   coordinate system
  In the Earth-related coordinate system, we reconstruct the standard model of cosmology based on the assumption of the cosmological principle and the perfect gas (or fluid). We exactly solve Einstein's field equation involved. The solution consists of three parts respectively on the line element for space-time of the Universe, the value for the cosmological constant and the equation of state for the matter of the Universe. 
Jian-Miin Liu