English

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 Ω0\Omega_0 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