Are Small Hyperbolic Universes Observationally Detectable?

Details Are Small Hyperbolic Universes Observationally Detectable? Are Small Hyperbolic Universes Observationally Detectable?

2001-06-14

arxiv.org/abs/gr-qc/0106044v2

Class.Quant.Grav.18:L145,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 1 figure, LaTeX2e. A reference and two footnotes added. To appear in Class. Quantum Grav. 18 (2001) in the present fo

Scientific paper

10.1088/0264-9381/18/21/101

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 $\Omega_0$ is likely to be very close to one.

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