Are Small Hyperbolic Universes Observationally Detectable?
General Relativity and Quantum Cosmology
2010-04-06 v2 Astrophysics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Using recent observational constraints on cosmological density parameters, together with recent mathematical results concerning small volume hyperbolic manifolds, we argue that, by employing pattern repetitions, the topology of nearly flat small hyperbolic universes can be observationally undetectable. This is important in view of the facts that quantum cosmology may favour hyperbolic universes with small volumes, and from the expectation coming from inflationary scenarios, that is likely to be very close to one.
Keywords
Cite
@article{arxiv.gr-qc/0106044,
title = {Are Small Hyperbolic Universes Observationally Detectable?},
author = {G. I. Gomero and M. J. Reboucas and R. Tavakol},
journal= {arXiv preprint arXiv:gr-qc/0106044},
year = {2010}
}
Comments
5 pages, 1 figure, LaTeX2e. A reference and two footnotes added. To appear in Class. Quantum Grav. 18 (2001) in the present form