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Signature for the Shape of the Universe

G. I. Gomero·M. J. Reboucas·A. F. F. Teixeira
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Abstract

If the universe has a nontrivial shape (topology) the sky may show multiple correlated images of cosmic objects. These correlations can be couched in terms of distance correlations. We propose a statistical quantity which can be used to reveal the topological signature of any Robertson-Walker (RW) spacetime with nontrivial topology. We also show through computer-aided simulations how one can extract the topological signatures of flat, elliptic, and hyperbolic RW universes with nontrivial topology.

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G. I. Gomero, M. J. Reboucas, A. F. F. Teixeira. 2001-05-15. Signature for the Shape of the Universe. https://doi.org/10.1142/s021827180000075x

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