ON BELTRAMI MODEL OF de SITTER SPACETIME

Abstract

Based on some important properties of dS space, we present a Beltrami model ℬΛ that may shed light on the observable puzzle of dS space and the paradox between the special relativity principle and cosmological principle. In ℬΛ, there are inertial-type coordinates and inertial-type observers. Thus, the classical observables can be defined for test particles and light signals. In addition, by choosing the definition of simultaneity the Beltrami metric is transformed to the Robertson–Walker-like metric. It is of positive spatial curvature of order Λ. This has already been shown by the CMB power spectrum from WMAP and should be further confirmed by its data in large scale.