Signature for the Shape of the Universe
General Relativity and Quantum Cosmology
2009-11-07 v1 Astrophysics
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.gr-qc/0105048,
title = {Signature for the Shape of the Universe},
author = {G. I. Gomero and M. J. Reboucas and A. F. F. Teixeira},
journal= {arXiv preprint arXiv:gr-qc/0105048},
year = {2009}
}
Comments
11 pages, 3 figures, LaTeX2e. This paper is a direct ancestor of gr-qc/9911049, put in gr-qc archive to make it more accessible