G I Gomero et al 2001 Class. Quantum Grav. 18 L145 doi:10.1088/0264-9381/18/21/101
Are small hyperbolic universes observationally detectable?
G I Gomero1,2, M J Rebouças1 and R Tavakol1,3
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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 fact that quantum cosmology may favour hyperbolic universes with small volumes, and from the expectation, coming from inflationary scenarios, that Ω0 is likely to be very close to one.
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Issue 21 (7 November 2001)
Received 21 August 2001
Published 15 October 2001
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Are small hyperbolic universes observationally detectable?
G I Gomero et al 2001 Class. Quantum Grav. 18 L145
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