Comments on the constraints on the topology of compact low-density universes

Mathematics – Logic

Scientific paper

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Scientific paper

Although it has been argued that ``small universes'' being multiply connected on scales smaller than the particle horizon are ruled out, it is found that constraints on compact multiply connected models with low matter-density (flat or hyperbolic) are not stringent. Furthermore, compact hyperbolic models (Ω0=0.1 ~ 0.2) with volume comparable to the cube of the present curvature radius are much favored compared to the infinite counterparts due to the mild suppression on large-angle power.

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