A topological signature in cosmic topology (Q2729250)

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scientific article; zbMATH DE number 1621826
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English
A topological signature in cosmic topology
scientific article; zbMATH DE number 1621826

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    A topological signature in cosmic topology (English)
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    27 February 2002
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    topological signature
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    Robertson-Walker universe
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    covering isometries
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    histogram technique
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    Two methods for obtaining the topological signature of any multiply connected Robertson-Walker (RW) universe are presented. Using computer-aided simulations, the topological signatures of flat, elliptic and hyperbolic multiply connected RW universes are obtained. It is shown that both approaches give rise to the same results. The contributions of the covering isometries are also studied and the role of non-translational isometries is emphasized. The mean pair separation histogram technique proves to be a suitable approach for studying the topological signatures.
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