Authors: Ru-Jiao Zhang
The Robertson-Walker metric has been recognized for describing the global space-time Universe which could be one of the three models: flat (k=0), closed (k=0) or open (k=-0). This paper reinterprets the Robertson-Walker metric, which actually describe the geometrical shapes of the global space-time Universe and two local space-time. The global space-time is the “infinite” hyper-sphere of the Universe without boundary (open sphere). The two forms of local space-time caused by the agglomeration of matter into stars and stellar systems, which appeared as sphere (or ellipsoid) and flat. The shapes of spheres range from small elementary particles in quantum physics to planets, stars and giant objects such as globular nebulae in cosmological physics. The flat shapes are disk like galaxies, and the solar system in its infancy, etc. In last chapter, the cosmological constant was derived from the volume of the five dimension hyper-sphere. The cosmological constant is relevant with the Gaussian curvature 1/R^2 of the Universe. The value of the cosmological constant is: Λ= (5Ho^2)/(2πc^2 )
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